{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ac807de3-d308-4a9a-bc3a-269f576de500",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "095c05f8-c81e-4463-af7c-ea4ce7c3b105",
   "metadata": {},
   "source": [
    "## 初级绘制\n",
    "\n",
    "这一节中，我们将从简到繁：先尝试用默认配置在同一张图上绘制正弦和余弦函数图像，然后逐步美化它。\n",
    "\n",
    "第一步，是取得正弦函数和余弦函数的值：\n",
    "\n",
    "```python\n",
    "from pylab import *\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "```\n",
    "\n",
    "X 是一个 numpy 数组，包含了从 −π 到 +π 等间隔的 256 个值。C 和 S 则分别是这 256 个值对应的余弦和正弦函数值组成的 numpy 数组。\n",
    "然后执行：\n",
    "\n",
    "```shell\n",
    "$ python3 exercise_x.py\n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01417df7-9938-4200-92e6-4aae43107bcb",
   "metadata": {},
   "source": [
    "### 使用默认配置\n",
    "\n",
    "Matplotlib 的默认配置都允许用户自定义。\n",
    "你可以调整大多数的默认配置：图片大小和分辨率（dpi）、线宽、颜色、风格、坐标轴、坐标轴以及网格的属性、文字与字体属性等。\n",
    "不过，matplotlib 的默认配置在大多数情况下已经做得足够好，你可能只在很少的情况下才会想更改这些默认配置。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3dc0ee19-3ea0-4ac7-9d50-ccab3b9c3523",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256, endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X,C)\n",
    "plt.plot(X,S)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9bb6f978-109e-48a1-8d85-803f1474c711",
   "metadata": {},
   "source": [
    "### 绘图配置概览\n",
    "\n",
    "下面的代码中，我们展现了 matplotlib 的配置并辅以注释说明，这部分配置包含了有关绘图样式的所有配置。 你可以在交互模式中修改其中的值来观察效果。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "826f4a4b-5622-42d7-b963-a19d3229b87b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Create a new figure of size 8x6 points, using 100 dots per inch\n",
    "plt.figure(figsize=(8,6), dpi=100)\n",
    "\n",
    "# Create a new subplot from a grid of 1x1\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "# Plot cosine using blue color with a continuous line of width 1 (pixels)\n",
    "plt.plot(X, C, color=\"blue\", linewidth=1.0, linestyle=\"-\")\n",
    "\n",
    "# Plot sine using green color with a continuous line of width 1 (pixels)\n",
    "plt.plot(X, S, color=\"green\", linewidth=1.0, linestyle=\"-\")\n",
    "\n",
    "# Set x limits\n",
    "plt.xlim(-4.0,4.0)\n",
    "\n",
    "# Set x ticks\n",
    "plt.xticks(np.linspace(-4,4,9,endpoint=True))\n",
    "\n",
    "# Set y limits\n",
    "plt.ylim(-1.0,1.0)\n",
    "\n",
    "# Set y ticks\n",
    "plt.yticks(np.linspace(-1,1,5,endpoint=True))\n",
    "\n",
    "# Save figure using 72 dots per inch\n",
    "# savefig(\"../figures/exercice_2.png\",dpi=72)\n",
    "\n",
    "# Show result on screen\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fa2769f-60e7-4eef-b0ba-82f852ccb6d9",
   "metadata": {},
   "source": [
    "### 改变线条的颜色和粗细\n",
    "\n",
    "首先，我们以蓝色和红色分别表示余弦和正弦函数，而后将线条变粗一点。接下来，我们在水平方向拉伸一下整个图。\n",
    "\n",
    "```python\n",
    "...\n",
    "figure(figsize=(10,6), dpi=80)\n",
    "plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plot(X, S, color=\"red\",  linewidth=2.5, linestyle=\"-\")\n",
    "...\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "7c1d5133-b285-4d18-a271-a92affb22dd2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(-4.0,4.0)\n",
    "plt.xticks(np.linspace(-4,4,9,endpoint=True))\n",
    "\n",
    "plt.ylim(-1.0,1.0)\n",
    "plt.yticks(np.linspace(-1,1,5,endpoint=True))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da1af765-250c-431f-89c4-9f1b6d030a37",
   "metadata": {},
   "source": [
    "### 设置绘图区域\n",
    "\n",
    "通过xlim和ylim设置坐标轴的边界\n",
    "\n",
    "```python\n",
    "xmin ,xmax = X.min(), X.max()\n",
    "ymin, ymax = Y.min(), Y.max()\n",
    "\n",
    "dx = (xmax - xmin) * 0.2\n",
    "dy = (ymax - ymin) * 0.2\n",
    "\n",
    "xlim(xmin - dx, xmax + dx)\n",
    "ylim(ymin - dy, ymax + dy)\n",
    "```\n",
    "\n",
    "xlim和ylim可以用一条命令替代，axis。\n",
    "\n",
    "例如，如下语句\n",
    "\n",
    "```python\n",
    "xlim(x1, x2)\n",
    "ylim(y1, y2)\n",
    "```\n",
    "\n",
    "等价于\n",
    "\n",
    "```python\n",
    "axis([x1, x2, y1, y2])\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b17653ea-73ae-4ba3-a347-ec92da5738d6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "# plt.axis([X.min()*1.1, X.max()*1.1, C.min()*1.1, C.max()*1.1])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52a4638f-5a24-462e-946d-aa0fab8275ae",
   "metadata": {},
   "source": [
    "### 设置刻度标记\n",
    "\n",
    "可以通过xticks和yticks设置刻度间距。\n",
    "\n",
    "```python\n",
    "...\n",
    "xticks( [-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
    "yticks([-1, 0, +1])\n",
    "...\n",
    "```\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "abe17cad-ed03-4c87-93b9-66458b0d0110",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi])\n",
    "\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "plt.yticks([-1, 0, +1])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b17158a-ddc3-46c6-9d86-34195a73b618",
   "metadata": {},
   "source": [
    "### 设置刻度标记的标签\n",
    "\n",
    "当我们设置记号的时候，我们可以同时设置记号的标签。注意这里使用了 LaTeX。\n",
    "\n",
    "```python\n",
    "...\n",
    "xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "       [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "yticks([-1, 0, +1],\n",
    "       [r'$-1$', r'$0$', r'$+1$'])\n",
    "...\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3a3352c3-6aa2-4756-9a57-19d137dcc9be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Fv7+sQZYoIdc7dgBvv601JF/BJIPIA4SHq54khQvLDTA7fnsOPz/g44+l8ScgR1q7dEnWhysuTqadzCMozZvzvLGnyZ5d1r4yZ5brefOAL77QG5MPYJJBpNnPP0vZcEASi6+/5kZPT5Qli1QENQ8rLF6crHDXoEHS9ASQbmvc6OmZypcHZs9W12+9pTbokkvwt4BIo9On1TQ8AIwbB9SooS8eerhSpeRoq6lnT+DE7J+BSZPkgYAA4JtvgBw5dIRHqdGundTMAGTN6+WXgdhYvTF5MSYZRJqYrduvXJHr5s2d3JSLXOKFF+QGGACCbp1H1ndeV5/84AOgUiU9gVHqzZghGSMAbN8uu6zJJZhkEGkybpzahxEaCsyfz4qeVjFpElCuTBI+x2vInXBRHmzaFOjRQ29glDpZs8q6pFnhbto0OWpMTsckg0iDTZukdDUgS/dffgnkyqU1JLJD5szAmiaT0AhrAABnUQBr2s5jlmgljz0GTJ6srjt2BE6d0hePl2KSQeRmN27IsnBiolwPHqx6OZFFbN6MAtMHAQCS4If2WIi27+W502uGLKJbNyn5DsjJoLZt1S8mOQWTDCI3691bbWivVg0YOlRvPGSnqCjZTPNf1bSlJQbgdzyFy5elUy57cFmInx/w2WeqYNr69cDEiXpj8jJMMojc6Icf1LHHLFmARYtUyWqyiD59pGMaAFSvjgZrR6BgQbn89VfbGXiygJw5pV6GudQ1dCiwa5femLwIkwwiNzl/HujcWV1PnaoKEJJF/PQTMGeOjLNmBb78EsEFMmDhQvUeNWSIFOsiC6lVS3W/i48H2rfnsVYnYZJB5AaGIfvKLl+W61atpAcGWcjVq7ZZ4uTJQFgYAODJJ9Xx49hYKcOQ6rbw5BlGjlTdCHftUk3VKE2YZBC5wSefSGVPAMifX5ZMeBDBYt59F3d2djZpYptwQFqVlC4t4y1b5IgyWUhgoPQ3Mdcvx48H/v5bb0xegEkGkYudOAG8/766njePZcMtZ+lSOWcMSDXPOXPuyRIzZQIWLFDVxEeOBHbudG+YlEYVK6qz5UlJMiV186bOiCyPSQaRCxkG8OabqmNn585yE0wWcvGiKvEJANOnA4UK3fePVqsG9O8v4/h4eY+Ki3NDjOQ8/foBTzwh48OHWQ00jZhkELnQ3LnAGqnXhJAQno6zHMOQBMPcTNO6NfDqqw/9K8OGARUqyHjnTiAiwsUxknOlTy8N7sxurTNnyrEhcgiTDCIXOX3athfJJ59It2mykC+/BL77TsbBwdLvPYXNNIGBsmySPr1cjxkjezTIQkqUkD40pi5duGziICYZRC5gGPK6FBUl16+/DjzzjN6YyE4XL9r2Ipk9G8ibN1V/tVIlOcoKSAHJDh24bGI53boBdevK+NgxIDxcbzwWxSSDyAU+/xxYtUrGBQoAU6bojYcc0KuXHFsFgJdeAp57zq6/PmgQULmyjPfskcMKZCH+/nIMLGNGuZ46VZoOkV2YZBA52dmzQM+e6nr2bCkqSBayapU6TZIzp3TptFOGDFKxOl06uY6IAPbvd2KM5HolS9qeNunUiVNSdmKSQeRk77wDXLsm41dfBZo31xoO2evGDdvTJJMnA/nyOfSlKlaUKuSAvDd16cLeJpbTp4+sfwHAv/9ySspOTDKInOiHH9Q+wbx5gQ8/1BsPOWDIEODkSRk/9ZRsqEmDYcPuFAbFunWqKjlZRPr0905J7dunNyYLYZJB5CTR0TKLYZo6FcidW1s45Ih//lFLIxkzylpXGkuzZs4sX8bUrx/YEt5qKlVSvU3i4mTZhC3hU4VJBpGTDBsmx1YBoFEj4JVX9MZDdoqLk8pphiHXI0cCxYo55Us3bKgmRK5flwrlZDHh4aqj4caNwKxZeuOxCCYZRE6wbZtaGsmYUer3sDeJxUyYAOzeLeNKleR0iRNNmgTkySPjpUtlaY0sJFMm27WuwYM5JZUKTDKI0igx0XZDX3i4026AyV2OHJEOZ4Csvc+Zo6ppOUnu3LKEZnr7bVVHhSyibl3VGC8qyrbaHt0XkwyiNProI2DrVhmXK6dOE5BFGIZspomNleuePVWBCydr00b1rjlzRp2OJAsZN05ttvrqK9U3gO7LzzDMBUh9QkJCcNpczCaykNOngTJlVAO09euBWrX0xkR2WrYMeP55GYeEyMmBrFld9u2OHQPKlgVu35ZJk+3bVa8Tsoi5c2XzJyD7NHbtUkW7fExK79+cySBKgx49VILRpQsTDMu5cQN47z11PXWqSxMMAHjkEVnOB2SprXt3tdeULKJDB/XLfuiQbZ8TssEkg8hBP/9sWxNj3Di98ZADRo1SR4IaN7a7dLij+vZVBxXWr5cy9GQh/v5yusSsnTFmjLSFp3swySByQGys7THEiRNZOtxy9uyRap6AtE6dMcNtR4LMb2fq2xeIjHTLtyZnqVBBnUCKjZV9PZySugeTDCIHTJ6sblxq1wbatdMbD9nJMOR4R0KCXPfvDxQv7tYQGjUCXnhBxpcuqa6tZCHDhsk+HgBYvVrOJpMNbvwkstPJk7LZMyZGZk23bQMee0x3VGSXRYuA9u1lHBYmPSkyZXJ7GKdPA6VLAzdvyiTK5s1AlSpuD4PSIvnG4UKFpAuei/f1eBJu/CRysj59JMEA5GaYCYbFXLtme854+nQtCQYgN8HDhsnYMGQTKBuoWUzr1sCzz8r4zBlg7Fi98XgYJhlEdvj1V+Dbb2WcJ49UniaLGTECuHhRxsnfIDTp2VOOtALApk1soGY5fn5S7jcgQK4nTpTibgSASQZRqsXF2W72HD8eyJFDWzjkiH371I7LjBmBKVP0xgMgQwYp6GYaPJibQC2neHFV/TMujpVAk2GSQZRKH34oy60A8MQTae4ATu5mGHIaIPlmzyJF9Mb0n/r1gZdflvHly5whs6TBg4GCBWW8fLmccSdu/CRKjbNngVKlpHaTnx+wZYvLKk+Tq6xYAbRoIePChSVjzJxZb0zJnDwpm0Bv3ZK2Kbt2yQZjspAvvlBHzUqVkifRXEbxUtz4SeQEgweryp5duzLBsJzYWNuuqhMnelSCAQChoTK5AshkS8+eLLtgOW3bAjVryvjAAdlU7OM4k0GUgq1bgapVZZwjh9THMPsjkUWMHw8MGCDjevWAP/5wW+Ete8TEyOzFyZNyvWIF0KyZ3pjITtu2yQuGYQDZsgEHDwL58+uOymU4k0GUBuYyvmnYMCYYlnPuHBARIWN/f9lc44EJBiCTKxMmqOtevVRzWLKIypWBN9+UcXQ0MGiQ3ng0Y5JB9BBLlwLr1sm4ZEmpY0AWM2CAbRc7Dy9s8uKLQN26Mj58GJg2TW885ICICHX0bN48qbLmo5hkED3A7dvSU8I0aZLX7+HyPv/8o7qP5cghDdE8nFl2wf+/V+dRo4Dz5/XGRHbKk0fqsZh69/bZDTZMMogeYOpU4PhxGT/9NNC0qc5oyG6GIbsnTSNHAsHB2sKxR8WKnHG3vG7d5IQJIK12ly3TG48m3PhJdB/nz0sr7hs35I5y506gfHndUZFdlixRxSfKlJHjhOnT643JDpcuyc/g9esyu7FtmyQfZCHJj02HhQF790oLXi/CjZ9EDhg61HYZnwmGxcTGqtMkgOymtFCCAciMe3i4jA1D2q3ovyUkuzRrBjz5pIyPHrUt7eojmGQQ3WXHDuCzz2QcFMTqi5Y0fTpw7JiMn3pKe38SR739ttwAA8DvvwM//aQ3HrKTn59s5jJPM40cKSVdfQiTDKJkzGV8844xPFzuKMlCLl9WR1bvfpG3mMBAYNw4dd23r6qKThZRsSLQoYOMr1/3ubsWJhlEyXz/PbB2rYyLFQPeeUdrOOSIkSPlxRyQF3cPP7KakhdeAGrUkPG+fezSakkREarC7KxZUg3URzDJIPpPbKztkdWJE71uj5b3O3hQXsQBeVE3ZzQszJyMMYWHA1FR+uIhBxQsaFszvl8/vfG4EZMMov/MnAkcOSLjBg2Ali31xkMO6NdPrSf07au6YlpcjRrASy/J+NIlqZJOFtOnj22X1t9/1xuPm/AIKxGAa9dkeeTqVR4XtKy1a6VnOgAUKAAcOgRkyaI1JGc6elRO4sbFARkzyqRN4cK6oyK7LFig9mdUrCjtnNOl0xlRmvEIK1EqjBsnCQYgnZqZYFhMUpJUVTRFRHhVggHIKZN335Xx7dss0GVJ7dsDlSrJeMcOVY3Wi3Emg3zeyZPSlyQ2VvZgHDgAFCmiOyqyy8KFwGuvyfjRR2UqyuJ3iPcTGQkUL64S4i1bgCpV9MZEdvrjD1U7o0ABmZLKmlVvTGnAmQyiFISHq06XPXowwbCcmBjb2/pJk7wywQCAnDlVgS6ABbosKfmGr3PngClT9MbjYkwyyKft3KlmLHPmBAYO1BsPOWDqVMC8k3r2WaBhQ63huFq3bjKbAcg2lBUr9MZDDhg/XiXCH3wgu3m9FJMM8mn9+6s7wSFDJNEgC7l8WR21SJdOyod7uYAA29MlyQ/UkEWUKqU64N24YYnuwI5ikkE+69dfgdWrZVy0qJRwJosZM0YVjXjjDaBsWb3xuEnr1kDt2jI+cACYO1dvPOSA8HBVoOvjj9X5eS/DJIN8UlKSbT2ciAgW3rKcEydUw6mMGYFhw/TG40Z+fjLLbho+XLamkIUUKKBORMXHS1dGL8Qkg3zS4sXA9u0yrlQJaNNGbzzkgGHDpGgEALz3HlCokN543KxGDaBVKxmfOwd8+KHWcMgRffsCwcEyXrwY2LpVbzwuwCSDfM7t28Dgwep6wgTAn78J1rJ7t+2OXbNks48ZM0b97I4fD1y5ojceslNQkO0MxoAB+mJxEb60ks/56COZaQeAJk2kEzhZzKBBasfuwIE+u2O3TBmgY0cZX78OjB2rNx5yQNeuwCOPyPjXX4E1a/TG42QsxkU+JTJSyodHRsq69o4dUruJLGT9eqBOHRmHhEgxo0yZ9Mak0enTQIkSMkMXGCj/HKGhuqMiuyxeDLRtK+NKlaTKmkWmV1mMiyiZCRMkwQCA119ngmE5hmG7NDJ8uE8nGIDkWT16yDg21qf2v3qPl18GKleW8fbtwFdf6Y3HiTiTQT7jwgXp/xATI7UGDh3iHZ/lLF+uqiWWLi17M9Kn1xuTB4iMlJ/ta9fkBnjnTqB8ed1RkV1+/RV4+mkZFy0K7N9viSNvnMkg+s/YseqY31tvMcGwnMRE25KsY8cywfhP8mq1SUlsnmZJDRuqJOP4cWD2bK3hOAtnMsgnnDolpZjj4qT+zZEjQP78uqMiu8ybJwW3ADm/uWGDbKwhAMCtW7I348wZuV63ThXsIovYtk11vAsOlheqoCC9MaWAMxlEkGJbZkmFd99lgmE5t2/bbjYYN44Jxl0yZQJGjFDXyUvmk0VUrqw2gF6+DEycqDceJ2CSQV7vyBFVdjkoyLbSJ1nERx/JdBQgTdDq1tUbj4d6/XU51goAf//N5mmWNGoUkCGDjKdMsXzzNCYZ5PWGD1cNpPr0AXLl0hoO2evaNak6BcjsBYtBPFD69OqfCpB9GomJ+uIhB4SF2TZPs/jPO5MM8mp79gBffCHj3LmBnj21hkOO+OAD4OpVGbdrx3PHKWjZUrasAMDevcCXX+qNhxwwZIg6mj1zpprFsyAmGeTVhg1T69L9+3v8Hiq629mzwNSpMg4IAEaO1BqOFdw92ZO8xQtZRIECsnkMkOInFm4FzySDvNa2bcDSpTLOn5+t3C0pIkKOTQBAt25SP4BSVK8e0KiRjI8dAz77TG885IB+/dRd0dy5UtjHgphkkNcaMsR2nDmzvljIAceOAXPmyDhrVtuudpSiiAg1HjWKreAtJ3du6dIKyMaa8HC98TiISQZ5pQ0bgFWrZBwaCnTurDcecsCoUUB8vIx79gTy5NEajtU8/jjQurWMz52TpX2ymPfeUz/3X30lpVwthkkGeR3DsL3pHTbMEtV5KbmDB4EFC2ScI4ccCyK7jRqlyomMHQtERemNh+yULZtt+dbk07MWwSSDvM5vvwFr18q4ZEngtdf0xkMOGD5c6mMDwPvvS6JBditXTg7kAHJAZ/JkvfGQA956S7rgAcDKlVIAxUKYZJBXuXsWY8QItrewnN27VRfK4GDVYpQcMny4+h2YNEkKSZKFZMxoW+120CBLlXJlkkFeZcUKYNMmGVeoALz0kt54yAHh4epFdOBAmTImh4WFqT1JN24A48frjYcc0KGDNKYBZJp2zRqt4diDDdLIayQlAZUqAbt2yfX336uu4GQRW7bIjkVAagUcOaKKEpHDzpyRBoG3b8uN8eHDQKFCuqMiu3z9NfDKKzKuUgXYvNkj+vewQRr5jG++UQlGtWpAixZ64yEHDB2qxsmrHlKaFCoEvPOOjG/ftj3eShbx4ovAY4/JeOtW4Lvv9MaTSpzJIK+QkCCb3A4elOtffgGeflpvTGSn9euBOnVkXKQIcOAAjwU50eXLsnQSHS17NPbvB4oV0x0V2eXHH4FmzWRcpozsX0qXTmtInMkgn7BwoUow6tYFGjbUGw/ZyTBsj+eFhzPBcLLgYKB3bxknJMiGULKYZ58FataU8b59wKJFeuNJBc5kkOXFxclR1RMn5HrdOqB2bb0xkZ1++01lhiVKSGcvHgtyuqgo4JFH5Dirn5/cCJcrpzsqsstff0ndeMAjZvw4k0Feb84clWA0acIEw3J47thtgoKAAQNkbBi2W2DIIurWBRo3lvGJEx7fmIYzGWRpMTGya/7cObnevBmoWlVvTGSnlSuB5s1lXL68lE725/2Pq9z9O7NpkzrQQxaR/BRWwYJyXEjTJmnOZJBXmzlTvVi2bs0Ew3KSkmxvp0eOZILhYpkz2/6Ts++cBVWtCrRqJeOzZ4GPP9YazsNwJoMsKzpa1pevXOH6smV9+60czQOAypXlDs0Dzv57u7g4oHRpaXQLAH/+qZb5ySJ275YjrYYhTdSOHpVuxW7GmQzyWlOnSoIBAG3bMsGwnLvbV0dEMMFwk4AA20rVQ4ZYqlI1AbYljS9dAqZP1xvPA3Amgyzp6lWZxYiKkmPi+/fLOjNZyKJFQPv2Mq5ZU+pkMMlwm8RE2QKzf79cr1olG6fJQvbvl7urpCQgZ06Zmsqe3a0hcCaDvNLEiaptdceOTDAsJz7e9lZ69GgmGG6WLp1sgTFxNsOCSpdWiXpkJDBlit547oNJBlnOhQvAhx/KOCCAx/Asaf58WUMGgKeeAurX1xmNz3r+edtK1d9/rzUcckR4uDryPXmyWkP2EEwyyHLGjpVjeADQtSsQGqo3HrLT7du2t9CjRumLxcf5+9v2MRk6VJZRyELCwoA33pBxdLRM83oQJhlkKadOAbNmyThTJmDQIL3xkAM+/RQw13CbNgVq1NAbj49r2hSoXl3Ge/ZIs0+ymCFDZFoXAKZNk+leD8EkgywlIkKO3wFAjx5A/vx64yE7xcTI/gtT8hkN0sLPz/YpGTZMtsyQhRQuDLz1loxjYoBx4/TGkwyTDLKMI0eAuXNlHBQE9OunNx5ywEcfqbus55+X2hik3VNPAQ0ayPjwYeDzz/XGQw4YOFBV/Zw1S80WasYkgyxj+HDpHglIN8lcubSGQ/aKigLGj5exn5/0KCGPkXxvxsiRQGysvljIAfnzA++8I+PYWGDMGL3x/IdJBlnCnj3AF1/IOHduoFcvvfGQA5JXT3v1VVZP8zA1a0oncQA4eVK2zpDF9Ounqn7OmaNKumrEJIMsYdgwdYa/f39ZLiELuXoVmDRJxunS2dbIII+R/KDP6NHqFBdZRHCwugOLj/eIk1tMMsjjbdsGLF0q4/z5gbff1hsPOYDV0yyhcmXZKgMA588DM2bojYcc0Ls3kCOHjBcsAA4e1BoOkwzyeEOGqPHgwdJFkizk4kVWT7OQkSNV8dXx41VuSBaRIwfw/vsyTkrSvveJSQZ5tA0bpKcCIEW33nxTbzzkgHHj1Lx7ly6snubhypaVLTOArHJ5YKVqSkmPHrJ0AgCLFwP//qstFCYZ5LEMQ2YuTMOGAYGB+uIhB5w5A8ycKWNWT7OM4cNVpepJkzyuUjWlJFs22bwGyAupxj1QTk0yDh06hJo1a6JkyZKoVq0a9u7d68wvbx/DAFaulM6OZEm//QasXSvjEiWA117TGw85ICJCnYV85x2gQAG98VCqFCtmW6l6wgS98ZADundX1QqXLZPNbRo4Ncno2rUrunTpgoMHD6Jfv37o1KmTM7986l28KKWKmzeXnbZsLWg5d89ijBih7qzIIo4dk2N0gByrY/U0S7m7UvX583rjITtlzmz7IhoeriUMpyUZFy9exLZt29CuXTsAwPPPP49jx47h+PHj9/zZyZMnIyQk5M7HjRs3nBWGCA6WJkwAsGULsHy5c78+udyKFcCmTTIuXx54+WW98ZADRo5U1dN69VJrxGQJhQsD3brJ+NYtaUxIFvPmm/JEAsCPPwK7drk9BKclGadOnULBggWR/r/bTT8/P4SGhuLkyZP3/NnevXvj9OnTdz6ymsVDnMXf3/Z88NChssuWLCEpyfYAwqhR8pSShRw4oGpT58ghx+rIcgYOVKe5Pv5YinSRhQQGyotp9erAL78AFSq4PQSnvnT7meee/mPoXKZo1gyoVk3Gu3cDS5boi4Xs8s03KuF+/HGgZUu98ZADhg9XiX3fvurcPllKvnxyUAGQxoQeUNuJ7NWpE7BxI/D00+psshv5GU7KBC5evIgSJUrgypUrSJ8+PQzDQIECBfC///0PRYsWfejfDQkJwWlXNHNZswZo1EjGJUtKbWou7Hu0hASpNm3Wj1m9Wj2FZBG7dgGPPSbj4GDZm+Hs2Upym6tXgUcekXoZ6dIB+/ezlhopKb1/O20mI2/evKhUqRIWLVoEAFi6dCmKFi2aYoLhUg0bAnXryvjgQeC/2MhzLVyoEoy6dSX5JotJflxu4EAmGBaXKxfQp4+MExNlkoootZw2kwEABw4cQIcOHXDlyhUEBQVhwYIFKJeKJkgum8kAgHXrVKJRtKisFZtbpsmjxMXJhNOJE3L9119AnTp6YyI7bd6slikLFpS+4Wb7abKsqCggLEzqZfj5yQo0+9sR4MaZDAAoVaoUNm7ciIMHD2LLli2pSjBcrk4doHFjGR8/DsydqzUcerA5c1SC0bgxEwxLSr5jd8gQJhheIijItraTptOQZEFOnclwlEtnMgDeXVlATIys8547J9ebNwNVq+qNieyUfNawSBFZ9+KsodeIiZEiXWa9jC1bgCpV9MZE+rl1JsNjJT+icPYsMHu23njoHrNmqQSjVSsmGJZjGLad7IYNY4LhZTJntn2K2eeOUsM3ZjIA2x3vefMCR45wQ5qHiI6W9d7Ll2W9d9cuKcBFFvLrr2qXbokSwN69PMnlhWJjZd+UWS9j/XqgVi29MZFenMkwPfqoKht58SIwY4beeOiOqVMlwQCANm2YYFjO3bMYrAHvtQIDbQ8PDR7Mrg30cL4zkwHIAe9y5aRIUM6ccn4/e3bXf196oLvP4O/bJzfCZCErVgAtWsi4fHlg506WaPViCQnSDv7QIbles0aqBZBv4kxGcqVLA+3byzgyEpgyRW88hIkTJcEAgA4dmGBYTlKS7SzGyJFMMLxc+vQyWWXibAY9jG/NZADA0aNAqVKSjmfLJrMZuXO753uTjQsXZC9GTIzsETx0CAgN1R0V2eXrr4FXXpFx1arS1U5D6WJyr6Qk2eL2779yvXy5NL0m38OZjLuFhUktd0B2HH7wgd54fNjYsZJgAEDXrkwwLCchwbZgQkQEEwwfcXcPyiFD2IOS7s/3ZjIA4PRpKcoQGyv1Mo4eBfLnd9/3J5w6JU9BXByfAsuaNw944w0Z16kDrF3LJMOHGIY099y8Wa6//hp46SW9MZH7cSbjfkJCgLfekvGtW3JLTW4VESEJBgC8+y4TDMuJjbVdmB89mgmGj/Hzk99jU3i4TG4RJeebSQYgjZsyZ5bxxx/LrTW5xZEjqrp7UBDQr5/eeMgBrAFPkNIo5lN/4AB7UNK9fDfJyJcP6NFDxnFxtik5udTw4eqOp3dv7ru1nJgY298X/u74rLtnM0aMUDOURIAvJxkA0Lev3EoDcmt95IjeeHzA3r3AF1/IOFcuoFcvvfGQAz76SDWwaN2aNeB9XN26QKNGMj5+HPjsM63hkIfx7SQjVy65lQbk1nrkSL3x+IAhQ9SZ+v79VY5HFhEVBYwbJ2M/P9sjBuSz7p7YunVLXyzkWXw7yQCAnj0l2QBkQXHfPq3heLPNm4HvvpNx/vzAO+/ojYccMGWKlGkFgLZtpYIu+bzHH5fGhoD0oJw1S2s45EGYZGTPrnYeJiXJhgFyicGD1XjoULXvliziyhVg0iQZp0vH3xWyMXKkOmA0dqyUISJikgHILXXevDJeskR6L5BT/fGH9DgApFdJ58564yEHfPCBeud44w0pdEL0nwoVVPHXy5eBadP0xkOegUkGAGTJAgwapK6TVzGkNDMM21mMESOkjDhZyLlzwPTpMg4IkKkoorsMHy6TXAAwYYK0iCLfxiTD1LUrUKiQjJcvlx4M5BQ//ghs3CjjsmVlKZ8sZswYtZuve3egcGG98ZBHKlkSeP11GV+/Lg0QybcxyTBlzGh7d5a8syQ5LCnJdhYjIkLd6ZBFnDgBzJ4t4yxZpJAd0QOEhwMZMsj4ww+Bixf1xkN6MclIrmNH2TAAyAaCP//UGo43WLIE2LVLxlWrqh3oZCEjRgDx8TJ+7z21f4noPooUAbp0kfHNm+rEM/km32yQ9jCff67m+554Avj7b/ZkcFB8vCyPHD4s17/8ImWIyUIOHJAnMSlJTmIdOwbkzKk7KvJw585Jw+vbt4HAQKlzaK5Gk3dhgzR7vfqqOvv/v//J/gxyyIIFKsGoXx9o2FBrOOSIYcNUD+++fZlgUKoUKKDq4MTGsvK8L+NMxv0sXw60bCnjsmVlvp8bCexy+zZQogRgPq0bNgA1a+qNiey0cydQsaKM8+QBjh4FsmbVGhJZx+XLMpsRHQ2kTy+TYmFhuqMiZ+NMhiOaNwdq1JDx3r1sLeiAjz9WCUazZkwwLCn5RuiBA5lgkF2Cg1VvInZt8F2cyXiQtWtljh8AQkOBgwdlcZFSFB0NFCsGXLok1zt2AI89pjUkstfGjSozLFRI1r0yZtQbE1nO9euylz4yEvD3B/79FyhTRndU5EycyXBUvXpAkyYyPnlSHeGjFH34oUowXnmFCYblGAYwYIC6HjqUCQY5hF0biDMZD7N9O1C5sozz5JEt0tmy6Y3Jw129KncuUVGyjWXfPtmbQRby009A06YyLlEC2LNHFT4gstPNm7IXw6yXsX272upD1seZjLSoVEkV4790STpQ0kN98IEkGIC0t2CCYTFJSbbFtkaPZoJBaXJ31wZWpPctnMlIyaFDsoiYmCizGEeOyKwG3ePsWemZdeuWbF85dIjVpy3niy+Adu1kXKUKsHkz68RQmt192mzjRilDRNbHmYy0KlFCtQyNjpYexnRfI0awvYWlxcXZ3maOG8cEg5yCXRt8F2cyUuPsWTkuYZavO3hQTpzQHfv3A+XLy4RPUJBM+AQH646K7DJjBvDuuzJu2FBK6xM5SXy8TAofOSLXv/8ONGigNyZKO85kOEPBgtKzAZDydSNG6I3HAw0eLAkGAPTvzwTDcm7cAEaNUtdsOEFOliGD7emSwYPlIBN5NyYZqdW/P5Ajh4znz5djEwRA1leXLZNxgQIqHyMLmTxZbf9/6SXZj0HkZG3aSBFlQF43fvhBbzzkekwyUitnTtsD31xUBCB3Iv37q+vhw2U3OVnIpUvAhAkyTpfOdkaDyInSpQPGjFHXAwdKNVDyXkwy7NGjB5A/v4yXLQM2bdIbjwf48Udg3ToZlywpx1bJYsaMkeUSQDY5lyypNx7yai1aALVqyXj/fmDuXL3xkGsxybBHlixAeLi6HjjQpxcVExNtC0OOHSuNkMhCTpwAZs6UcaZMtj/fRC7g5yf1dEzDhknBLvJOTDLs1bmznDQBZHv0zz/rjUejhQulGCQAVK8OtG6tNx5yQHi4HF0FZDNNwYJ64yGfULOmer04f162BJF34hFWR3z9taoEWr68dADzsVbwt27JrLr5tP35p7R7IQvZvVsayxiG7Dk6elRtbiZysQMHgHLlZEY0a1Y52po3r+6oyF48wuoKL70EVKsm43//BRYs0BuPBh99pBKMpk2ZYFhS375quW/gQCYY5FalSgFvvinju09Qk/fgTIaj/vpLvbMWLCgFunzkWEVkpKwYRUbK+urOnUCFCrqjIrv88gvQuLGMQ0PltpKdVsnNzp+XVgQ3b8p+rn375JqsgzMZrlK3rmyTBqQiqA81Txs/XhIMAHjtNSYYlpOYKLMYprFjmWCQFvnzA336yDghQQp0kXfhTEZaJK+lnTUrcPgwkC+f7qhc6tQp2YvBCusWNn8+0LGjjKtUkaPY/rzfID2io2X2wqwFt2kT8PjjemOi1ONMhiuVLm27qDhypN543GDwYEkwAOCdd5hgWE5MjO3t4sSJTDBIq2zZbE9OJ98qRNbHV5e0Sl7icvZsWdv2Ulu2yLFVAMiVi1ObljRliizvAUDz5kD9+lrDIQKALl3UXoy1a4GfftIbDzkPk4y0ypdPlRu/uzqVFzEMtXYKyJ1Hzpz64iEHXLigGp+lSyeba4g8QIYMtuXG+/dnuXFvwSTDGfr0kc5gAPD996rOthf54Qc5UAMAJUoA3brpjYccMGKEKh/+5pvSd5vIQ7zwgqoMsGcP8NlneuMh52CS4QxZstjux/CyRcW4ONvDCB98AAQE6IuHHLB/P/DJJzLOmtW25zaRB/DzAyZNUtdDhwJRUfriIedgkuEsHTtK+ToA+Ocf4Ntv9cbjRLNmycEZQE7utmypNx5yQP/+spxnjr38FBRZU+3awIsvyvjSJdslFLImHmF1pp9+kvKXABAWBuzdK+c8LezqVdmQZdbF2LJFTj2ShaxdqzZ4FiwIHDoEZM6sNSSiBzl2TA7uxcXJjOn+/cAjj+iOih6ER1jd6ZlngAYNZHz0KDB9ut54nCAiQiUY7dszwbCcpCTg/ffVdUQEEwzyaI88AvTqJeO4OJl4I+viTIaz7dgBVK4sezKCguSu0aJdfw4fBsqWBeLjpSDkwYNA4cK6oyK7LFok2SEAPPoosG2bzzXzI+uJipIN5maBrnXrZCmFPA9nMtytYkWgUycZR0XZVpmxmAEDJMEA5GaYCYbF3Lxpe6R64kQmGGQJQUG2DdN69ZJJObIeJhmuEBEhZewA4NNPgV279MbjgPXrgaVLZZy8FAhZyPjxwJkzMm7eHHj6ab3xENmhUyfVF2nLFuCLL/TGQ45hkuEK+fKpcphJSUDPnpY60pqUBPTura5HjVI5E1nEiRPAhAkyzpDB9mwgkQWkSwdMnqyuBw6UyTmyFiYZrvLee2pL9B9/AMuX643HDl98AWzeLOMKFYA33tAbDzmgf3/VZKZHD1ngJrKYhg2BZs1kfOaMrPiRtXDjpystWwY8/7yMixWTMnYefqQ1Olq6rJ4/L9e//MJZdstZvx6oU0fGefLI5uPs2fXGROSgAwek2XVCghyMOngQKFRId1Rk4sZPnVq3BurVk/GRI8CMGXrjSYXRo1WC0aoVEwzLMZfnTBERTDDI0kqVArp3l3FMDDBokN54yD6cyXC17duluIQFjrQeOiRFS+PjZcJl716pKUYWMm+eWt967DFg61aeKCHLu7so4P/+B1SvrjcmEpzJ0K1SJfWiHxXl0Wl47962R1aZYFhMdLTtz9fUqUwwyCvkymXbbuedd3ik1SqYZLjD6NEyiwFIa8FNm/TGcx8//QSsXCnjQoVkJzdZTESEWut67jlVSpzIC3TvLnszADnSOneu3ngodZhkuEO+fLZdWt9+26PS8Lg4VcYXkJOPWbLoi4ccsH+/Ou8XGKiOrxJ5ifTpbTs1DByolk/IczHJcJe33/bYNHzaNNmxDUjp3lde0RsP2ckwgHffle33gBxf5VoXeaH69YGXX5bx5cuWLqjsM7jx053+/FM1UMudW97Zc+XSGtL583JkNToa8POTfYKVKmkNiez1zTfASy/JuGhR2bGbKZPWkIhc5fRpOXESEwP4+0s7nsce0x2V7+LGT09Sv76aJrhyxSPS8H79JMEAgDffZIJhOTdu2JZnnTqVCQZ5tZAQYMgQGSclySSe/ltlehAmGe6WfMPDrFnStVWTP/8EFi6Ucc6csm+QLGb0aLm1A4BnngFatNAbD5Eb9O4tR1oB6dC6eLHeeOjBmGS4W0gIMHSojJOS5CyWhjQ8Lk4VuAGAsWOlOCRZyIEDqidJQIBsrvHz0xsTkRsEBsqPu6lvXzUjS56FSYYOvXrJRggA2LABWLTI7SFMmQLs2yfjatVkqYQsxNzsaRY26dtX3doR+YBnnpHmwgBw9qxtHQ3yHNz4qcsvvwCNG8s4Tx45guimTaAnTgBly6qNU5s3A5Uru+Vbk7MsXQq88IKMQ0MlY8ycWW9MRG529KhUKb59W+rObdkCVKyoOyrfwo2fnqpRI/UmcekSMGCA2751z56SYAByspYJhsVER9v2J5k6lQkG+aSwMLUJNDER6NpV/kueg0mGTh9+CGTLJuNPP5XumS62ciXw/fcyzpcPGDXK5d+SnG3oULXZs3Fj6WRH5KP69gXKlJHxpk3AJ5/ojYdsMcnQqWBBOR1geust2ZHpIjExsoxvmjyZDTotZ8sWVfYwUyZg5kxu9iSfFhAAfPyxuh44UFXXJ/2YZOjWvTtQtaqM9+xRpwVcYPRo4PhxGTdoALRp47JvRa6QkCA7dM2S9MOGsbInEYC6dYEOHWR8/bptmwTSixs/PcG2bcDjj8ubR8aMkmw4+c1j927Ze5GQAGTIAOzaBZQu7dRvQa42aZK0xwWARx+VWY0MGfTGROQhLl+W17QrV+R69WrZ+kauxY2fVlC5MtCjh4xv35bZDSfmfomJQOfOtq0tmGBYzIkTqkKsn58sPDPBILojONi2L2D37sCtW/riIcEkw1OMHCmFugBJwZcscdqXnj5ddZcvXVrtxiaLMAw5BmQeCereHaheXW9MRB6oQwdZOgGAI0dYxdgTcLnEk3z/PdC6tYzz5pVGV7lzp+lLHjsmzV/N96d166TTKllI8gZoBQpITQzu2CW6r717pVZGfLzUzti8mT2ZXInLJVbSqhXQsqWML15M8+4lw5ADK8lvgJlgWExkpFpKA2RaigkG0QOVLQsMGiTjxETgjTdUYVxyPyYZnmbmTPUmsnAh8OOPDn+phQulsCggKzFjxzohPnKv3r3VebzmzYHnntMbD5EFDBokM7iA9KBMvleD3ItJhqcpWFAai5i6dAGuXbP7y9w9ETJrFhAUlPbwyI1+/BGYP1/GQUGsiUGUSgEBwLx50jYBAEaMkGUUcj8mGZ6oQwfV1+TsWXVs0Q7vvQdcvSrjl18GmjVzXnjkBteuSYJpmjJFbQwmohRVrapeOuPiZNmEJcfdj0mGJzKPKJolxz/7DFizJtV/fdky4KuvZJwrl21LZLKI3r0lwQQk4ezYUW88RBY0fLhqeP3PP9LJgdyLSYanCg21XUjs3FkaY6Xg4kXZ7GmaOlUOqpCFrFolc72AJJqffsplEiIHZMoEzJ2rfn2GDAEOH9Ybk69hkuHJ3nxT6n8DwMmTKXZqNQzpQnjpkly3agW0a+faEMnJrl2T5900eTJQuLC2cIisrlYt4J13ZHzrFtCpk6rMT67HJMOT+fsDc+aoNt4zZwK//vrAP75okeqwGhwMzJ7NG2DL6dMHOHNGxk8/La+IRJQmY8YARYvK+K+/bPfWk2sxyfB0YWHAuHHqukMHtaMzmVOnbDuszp7NZRLLWbVK5nYBWSaZM4dZIpETZM0qK5Dmr9OgQdK/iVyPSYYVvP028NRTMj5zBujWzaa3iWHIDe/163Ldrh3LKVjOxYu2mzsnTpR9OUTkFPXry0QhIKdN2rWTVlHkWkwyrMDfX+ol5Mwp10uWAF98cefTH3+sDp8UKsTTJJZjZokXLsj1M8/Y7ssgIqeIiAAqVJDx7t3A0KF64/EFTDKsIiRE1kBMb78NnDiBw4dty2h89pnKRcgiZs8GVq6UcZ48tvO6ROQ0gYFyfxYQINeTJgF//qk1JK/HJMNKXnwRaN9exlFRSGr/Gtq+nHinN8lbb6kaXmQR+/ZJTQzT3LlAvnz64iHychUqyEZQQCYRX3tNLTWT8zHJsJrp04EiRQAA/uv+QoNtEwEAJUqwPr/lxMUBr74q5+oA6WDH0qxELterl+zRAGTTvHnElZyPSYbVZM8OLFwI47/p9FEYimrpt+Hrr2UHNVnI0KHA9u0yLlOGWSKRm/j7AwsWqH5OixbJBzkfkwwLOlusDqZl7A8ACEA8Vud4GZXCON9nKX/8oZKKDBmAL79U9VCIyOVCQ6X0kOmtt4D9+/XF462YZFhMYqJsy+h7awQ2oyoAIMflw1J2PNmxVvJgFy7IMon5fI0dC1SsqDUkIl/06qvq5PjNm7LtzdzjRs7BJMNixo8Hfv8diEcA3s27BEnZc8gnvv0W+OgjrbFRKiQmygH9c+fkumFDWSAmIi1mzADKlZPxv/9KB2tyHiYZFvL330B4uIz9/YHxSx6B/4L56g/07g1s3qwlNkqliAhVGr5AAVkI9uevIZEumTNL6SFztXLOHO7PcCa+ulnExYvASy/JjTAg3QTr1QPQsqUqYxcfL/N9kZHa4qSH+O03YMQIGfv7A4sX87gqkQcoWxaYNUtdd+0qp8sp7ZhkWEBCAvDKK6pvVt26d1WqGzsWqFFDxidOSH8T7s/wLGfOAG3bqudl1Kj/skQi8gSvvQa88YaMY2Lkpo77M9KOSYYFDBokhxEAmWH/+msgffpkfyBDBnkwd265Xr5cStmRZ4iNBZ5/XqajAKBJE2DAAL0xEdE9pk+33Z/RtSvv19KKSYaHW7pUnXRMnx745hsgf/77/MHChYGFC9V1//4PbQtPbmIYUunnn3/kOjRUnifuwyDyOJkzy2tslixyvWgR8OGHemOyOr7SebA9e2TlwzR5MlCr1kP+wjPPAIMHyzgpSeb7jhxxZYiUktmzZScZAGTMCHz3HRAcrDcmInqgMmWkH6Xp/fdlOxU5hkmGh7p8GWjeHLhxQ67btk1l6duRI1Vp6shI2RgaHe2yOOkhNmwAevRQ13PmAJUr64uHiFLlhRdkmRqQzfYvvwwcO6Y3JqtikuGB4uJkCd/8oa5UCfjkk1Q25vT3lzm+0qXles8e4PXXZWaD3Of4ceC55+TEDyC1MF59VWtIRJR6I0cCzz4r4ytXgFat1E0fpR6TDA9jGNLF/a+/5Dp/ftnHaa4Rpkr27MAPP8h/AZmiHzLE6bHSA1y/LrNJ5kbPBg2ADz7QGxMR2SVdOmkLX6KEXO/aJaf8zDIClDpMMjzM1KlqCT8wEPj+eyAkxIEvVLIk8NVXaoPh2LHqC5PrJCTI3OqePXJdsqRUY7U5DkREVpAjh9zkmfdrP/7IAr32YpLhQb79VtXVAoDPPgOqV0/DF2zSxHZr9FtvAWvWpOEL0kMZhtQkXr1arnPlAlaulP8SkSWVLg0sW6buE6ZPB6ZN0xuTlTDJ8BDr1klLC/NM9pAhTlrCf+cdoGdPGScmyo6m3bud8IXpHhMnqraOGTLIMpU510pElvXkk7IvztSrl8xwUMqYZHiAvXuBFi2kZhMg+zRHjnTiN5g4UXYtAUBUlBx1PXHCid+AMH8+0K+fup4zR0qzEpFX6NhRnThJSpJVUXPvHD0YkwzNTp+W9/xr1+S6cWPg009TeZIktcwdTI8/LtdnzgBPP602JlLarFgBdO6srkePlhrFRORVRo2ScgIAcPu2lBnYuVNvTJ6OSYZGFy4ATz0FnDwp15UrS7W5DBlc8M0yZ5ZdS6VKyfWhQ5LRXL/ugm/mQzZssO1c16MHMHCg3piIyCX8/YF582S7GyATw40bs+bhwzDJ0OTqVZlMOHhQrosVkxwgWzYXftM8eYBfflHHVXbskFScXYAcs3mzHKS/fVuu27QBpkxx8jQUEXmSgADZpG/2pLxwQV7LT5/WG5enYpKhQVSUZMLm/svChaVs7X17kjhbaKicMDFLW69bx0TDEVu3Ao0ayZMJyHj+fPYkIfIBWbLIwTGzmdqxY1IOx+yUTQpfEd3s+nXZg7F5s1znzy8JRpEibgyidGng55/VtMnvvzPRsMeOHXLrYm6kqV9fTpIEBGgMiojcKVcumRguXlyuDx9monE/TDLc6OpVoGFD4O+/5Tp3bmmUquWUY5Uq8hsSFCTXv/8uVSpv3tQQjIXs2CFPYmSkXNepIxs/M2fWGhYRuV/BgsAff8hyNyBb3Ro0AM6e1RuXJ2GS4SYXL8oP35Ytch0cLAmGOd2mxRNP2CYaf/whewy4GfT+1q8H6tWTRgYAULOmbKTJmlVvXESkTUiIvHSGhcn1oUNy78HNoIJJhhucPi0z6rt2yXX+/MCffwIVK2oMylS9um2i8ddfEuz581rD8jirVtnuwahZUx5z6U5dIrKCwoUl0XjkEbk+ehSoXVu95vsyJhkutmuXTBjs2yfXISHA2rWaZzDuVr26TKvkzi3XO3YAtWoxFTd99ZVUS7t1S64bN7ZNzIjI54WGyj5687X9/Hmpx7d+vd64dGOS4UK//SbTZuZGoLAwmSgoWVJvXPf1+OPy2xAaKtdHj0qiYa7v+CLDAMaMkaOpCQny2IsvOtAWl4h8QaFC8hr/xBNyff267BFfskRvXDoxyXCRBQvkmKo5u16tGrBxo5pO80ilS0txqbJl5frCBcmSvv5ab1w6xMZKHeHBg9VjnTsDixfzFAkRPVCuXDIx3KiRXN++LSXIR45Uval8CZMMJ4uPl6KPHTqom9/mzeXwRt68WkNLnZAQmfOrVUuub98GXnkFGDpUCvb7gkuX5PZjwQL12OjR0iEpXTp9cRGRJWTJIofOOnRQjw0bJiXJzVVXX8Ekw4nMMuHTp6vH3n5bSihYanY9Vy5Z6+nYUT0WEQE895w6uumtNmwAKlWSRAsAMmaUWu+DBrGSJxGlWkAAMHcuMH68eun46iu5fzt8WG9s7sQkw0nWrpXSE+Z7U0CANDqbMcOiN7+BgcBnnwGTJqkqlj/8IEdiNm7UGppLGIb8v9arpzbR5M8vT+wLL+iNjYgsyc9PmjMnv9Hcvl36VPnKPg0mGWkUFwcMGGBb6c3c/JO8Macl+fkBvXtLLYicOeWxkydln8a4cd6zfHL+PNCyJfD++6rRWb16wLZtspmGiCgNWraUezNz0390tOzT6N7d+wstM8lIg7175fTn+PFqQ0+DBtLWonp1vbE5VZMm0s/Y3KeRmCidRuvVAw4c0BtbWhiGbOQsV04WUE2DBsnOrQIF9MVGRF6lQgU5rPfqq+qxWbOARx+VCVNvxSTDATExcuigYkUpKQFIe/YJE+S9KV8+ndG5SOHCUkFsyBC1wLh+PfDYYzKrER+vNTy7nT0rx1HbtpV674DszP3xR9nkmT693viIyOtkywYsXAjMmSPbvQApR1S/vuzfi47WGp5LMMmw008/AeXLS/kE8321bFlg0yaZbffqJpzp0wOjRslRGbNYf2yszGpUrSoZlqe7fRsYO1bmLZcuVY+/8gqwZ4+UVScichE/P6BTJ5kcrl1bPT5zJlCqlDRz9paVaIBJRqr984/0xWraVNr6AjJ7MXiwTIF5RIlwdzFrpCfPqnbtkmOfzz4rb9aeJilJkopy5WQ5xGwEFxwsp0cWL5YxEZEblCwpyyQffqj6K547J4f6Hn9c9vV5AyYZKdi+HWjVSiq4/faberxBA3lfjYgAMmXSFp4+mTPL+tD//ifHakyrVskiY9u2ai1Jp8REOTf22GNySuToUXnc31/mJ/fv5+kRItLC31/qKu3eLe8zpm3bZMvbk08Ca9ZYu4gXk4z7SEgAvv1W6s5XriwnN01hYcCXX0rCUbq0vhg9xuOPy1rRwoWybwOQWYPFi6XehNnnwzy14S5XrwLTpslaVps2wL//qs81aCAJ0IwZql8LEZEmYWFyzPW33+R+yPTHH1I5tFo1ed+xYiEvP8PQnyOFhITg9OnTWmMwDDkVsmSJvD/eHU7BgkB4OPDGG7JMQvdx6xYwdSoweTJw+bLt50JCgHbtgNdfd112Fhcn848LFkiWGBtr+/knnpDKpc88w8JaROSREhPlnm3sWODgQdvPZc8uk8Svvy73d56wBzCl92+fTjIuXJDiWevWyQlGc69FcqVLA+++K+tkPrks4oiYGGDePCludb9/1BIlZIajUSOZE3S0m6lhyNbsDRuAlSuB1avvvz27Xj1JLp58kskFEVlCYiKwbJkcMrjfynO+fFJd4NlnpXSRrhP3bk0yevTogeXLl+PEiRPYvXs3ypcv75QgHXH2LHDtmrzn3LghH+fOAYcOyce+fQ8u7ZounTxx774rmz35vuSghARZa5o/X/ZqPGjJ5JFHZB9HhQoyZZQ3L5Anj5TIS0iQvxcXJ0/g6dPysWePTD1du3b/r5krF9C+vVRES+XPIRGRpzEMuRGeN09m2h9UvCtfPlneN19GCxSQosXZskkF6owZ1aFAZ3JrkvHXX38hLCwMtWvXxsqVK7UmGRUq2C7DpyRdOrnRfekl2YDDgwZOduGCLCp+952UvjO7xzlTrlySHTZvDrRooQ6iExF5gehoOQz3ww9SMcCeaqHBwdL70dm0LJcULVr0oUnG5MmTMXny5DvXN27cwLUH3ZE6qEYNOfjwIBkzyr7EOnVkg2etWkCOHE4NgR4kKkp2NK1ZI9uod+1SR0rtkT+/LExWqSIZYo0aLKJFRD4hNlaOuZovo9u3q7qC91OwoGp94UwemWTczRUzGaNGyXaAbNmArFnlv7lyAcWLy5aAQoU8Y9MMQU6jHD8ua1gXL6qP27claUiXTv6bP79sIC1USJZYChbUHTkRkUcwDODUKdksev68+oiJkdXmoCDZk+9sKb1/p/q2r06dOti3b999P7d9+3YUNo8veoihQ3VHQKnm7y9nuMLCdEdCRGRJfn5AaKh8eJJUJxnrzB7mRERERKnABQMiIiJyCacmGW+//fad9ZmGDRuiePHizvzyREREZCE+XYyLiIiIHJfS+zeXS4iIiMglmGQQERGRSzDJICIiIpdgkkFEREQuwSSDiIiIXIJJBhEREbkEkwwiIiJyCY+okxEYGIg8efK45GvfuHEDWbNmdcnXJtfj82d9fA6tj8+h9bnqObx06RJiY2Mf+HmPSDJciYW+rI3Pn/XxObQ+PofWp+s55HIJERERuQSTDCIiInIJr08yevfurTsESgM+f9bH59D6+Bxan67n0Ov3ZBAREZEeXj+TQURERHowySAiIiKXYJJBRERELsEkg4iIiFyCSQYRERG5hE8kGZGRkQgJCUFwcDAqVqyIMmXKIDAwEF27dtUdGjngm2++Qbdu3XD79m20atUKJUuWRMWKFdGkSRMcP35cd3j0n0OHDqFmzZooWbIkqlWrhr179+oOiZyEv4OerX79+h7zPPhEkpEzZ060bdsWvXv3xo4dOzB16lTUqlULs2fP1h0aOeD7779Hq1atAABdunTBgQMHsGPHDjRr1gxdunTRGxzd0bVrV3Tp0gUHDx5Ev3790KlTJ90h0X048obE30Hr0XWz7RVJRp06dRAcHHzfj1OnTgEAduzYgUqVKgEAtm7diooVK2qMmB7mYb8M8fHx2LBhAxo0aICMGTPi2WefhZ+fHwDgiSeewNGjRzVHTwBw8eJFbNu2De3atQMAPP/88zh27JjH3F3Rw/F30PvoutlO79Kv7ibr1q1L8c/s2LHjTmKxdetWtGzZ0sVRkaPMX4YcOXJg0KBBWL16NcaPH4/Zs2fjl19+Qc2aNREQEHDP35s2bRqaN2+uIWK626lTp1CwYEGkTy8vMX5+fggNDcXJkydRtGhRvcFRivg7aD0dO3bE9u3bAQCHDx/Gs88+e+c5WrFiBQoXLowdO3agV69eANx3s+0VSUZKzpw5A39/fxQoUAAAsGvXLgwZMkRzVL6rTp062Ldv330/t3379of+Mnz//fdo3br1PX9vzJgxOHToED7++GOXxU32Me9uTSwu7DnS8obE30HPNG/evDvj+vXrY/78+fck9Fputg0fsGLFCqNx48Z3ritXrmx07txZY0SUkjx58hhnz541DMMwnnvuOWPBggVGUlKSERYWZkRHR9v82QkTJhhVqlQxIiMjNURK93PhwgUjKCjIiI+PNwzDMJKSkox8+fIZx44d0xsY3aNevXr3fV74O2hd93tOT58+beTLl+/OdfHixY1t27a5PBav2JORkmbNmuHnn3++c71161Z8+umnGiOih7nfzFOFChWwadMmlClTBlmzZr3zZydPnozFixdjzZo1yJEjh6aI6W558+ZFpUqVsGjRIgDA0qVLUbRoUS6VWAR/B73P9u3bbZZHgoKCMHPmTJd/XzZII4+zcuVKzJgx405iWKVKFVSuXBm5c+dG8eLF0blzZwDA6dOnUbhwYYSFhSFbtmwAgMDAQPzzzz/aYiflwIED6NChA65cuYKgoCAsWLAA5cqV0x0W3eV+U+v8HSRnYZJBllGuXDn88ccfyJs3r+5QiHwSfwfJXkwyiIiIyCV8Yk8GERERuR+TDCIiInIJJhlERETkEkwyiIiIyCWYZBAREZFLMMkgIiIil2CSQURERC7BJIOIiIhc4v8BAoC+5eRmJgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "plt.subplot(111)\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "       [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "plt.yticks([-1, 0, +1],\n",
    "       [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2744d440-dfe3-414f-be4c-0a686758bf53",
   "metadata": {},
   "source": [
    "### 移动脊柱\n",
    "\n",
    "坐标轴线和上面的记号连在一起就形成了脊柱（Spines，一条线段上有一系列的凸起，是不是很像脊柱骨啊~），它记录了数据区域的范围。它们可以放在任意位置，不过至今为止，我们都把它放在图的四边。\n",
    "\n",
    "实际上每幅图有四条脊柱（上下左右），为了将脊柱放在图的中间，我们必须将其中的两条（上和右）设置为无色，然后调整剩下的两条到合适的位置——数据空间的 0 点。\n",
    "\n",
    "```shell\n",
    "...\n",
    "ax = gca()\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "...\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e4d0d5d0-0a17-4565-b289-fdfe05ac1bed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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S7GxOJr4nTx52UnSevhg6FDjYbpi1CaBwYWDKFN29+bL69YFevTh2Ns5wnqsVt9JPgUgSTpxwXSkeOpRtesW3Va9uPZZ5MGE5wr9I9Jz/m2/YgEF826BBfCEBnsxo21YdAD1AyV/kBg4H8Morrs/5e/Y0G5MkX69eQKOHzuAbtEQIuGnMMWCglVDEt6VL53qj9tNPrAEgbqXkL3KDTz5hfxeAy/xffaWVYjsJCXbg+xyvojAOAwCWoBY+z9vbcFSSIoULuxb86dxZDYDcTG9pIons3Ola8O2LL9TrxXY++QRZ5s8EAJxGLvwP09GxSwi2bzccl6RM06ZW96yYGODZZ63KjJJmSv4i18TG8jm/8/3ltdd4hlxsZNs2zhKvmfHYFziCcFy5wloN0dHmQpNUGD0aqFSJ4x07rIIOkmZK/iLXDBoErFvH8T33AGPHmo1HUiguDnjpJSvDv/kmWs1sgjJleLlxI9C3r7nwJBUyZgSmT7fq/48fn4YezpKYkr8IeBpsxAiO06Xj+02WLGZjkhQaMcK6eytdGhg9Glmy8Iims4rvuHHA8uXmQpRUKF3a+uEE2IzpwgVj4fgLJX8JeOfPAy++aJ0mGjwYuO8+szFJCkVEXKvqAx70/+orto0FUL48j2oCfI1btwYuXTITpqRSx45AnTocHzrk8mhHUkfJXwLe229bjd5q1VIBONuJieFyv7Oeb69eQNWqLn+kSxfgoYc43rsXeOcdL8coaRMczAJN2bLx+ssv2dJRUk3JXwLa778Dn3/OcWgoJ4zOCnFiEwMHAlu2cFyhAjsv3SAkhLnj2mIAJk60yjaLTdx1F/D++9b1q68CJ0+ai8fmlPwlYF28yPcPpzFjgCJFjIUjqbFqFfDuuxynTw98/TWbxCTh7ruBkSOt65df1qNj22ndGmjcmOMTJ4D27VX9L5WU/CVg9ejBx4cAm7y1a2c2Hkmhy5fZC97Z+nXQIODee2/5Vzp0sB4dHzwIdOvm2RDFzYKCgE8/BXLn5vXPP3NHp6RYkMOh2yYJPH/+CdSrx3HWrMDmzUDRomZjMiE8PByRkZGmw0idLl149AsA7r8f+PtvHtW4jf37uQnQuelv/nzg8cc9F6Z4wE8/AS1acJw7N7B9u3VDIMmimb8EnKgo1u53GjkyMBO/ra1ebT3/zZSJmzWSkfgBvtaJW8W/+qqW/22neXP+AoBTp1zLckqyKPlLwOnVCzhwgONatYA33jAajqRUbCwzduKzmaVKpehTtG8PPPIIx5GRbB0vNjNxIpAzJ8fTpnEJR5JNyV8CytKlfM8AuPP788/VtMd2Ro/mcxqApV9TMesLCmKjOGchp0mTgJUr3RijeF6+fK5lONu35y5eSRa97UnAiIlx3d0/fDhQooS5eCQVdu7kTB/g+b3PPkv2cv+Niha1PpXDwe+N2Fg3xSne0aaNtXnn8GHV/k8BJX8JGCNGALt2cVytmtUwTGwiIYFHMpwZumtXoHLlNH3KTp2sao5bt1qnBsUmgoLYgzvxEs6KFWZjsgnt9peAsGMH67/ExnKiuH49d3wHOlvt9v/kEy7tAkCxYlz6d0MDhogIFgSMj2eJgE2b2NhJbGTcOJbqBNgLICLCauggSdLMX/yew8H2vM4JY7duSvy2c/Qo0L27dZ14tpdGlSpxEQHg90i7dlbpALGJTp2sks7bt/OZntySkr/4va++ApYs4bho0SSrv4qv69DBOo+X+DmvmwwcyMUEgJtCnSWfxSZCQviiOfd/jBxpPeOTJCn5i187dcq1ituHH6pVr+388gsruQFAnjyuh/TdJEsW4OOPrevu3YFjx9z+ZcSType3lv5jY4E331Tp31tQ8he/9vbbwOnTHD/3nCq52c7ly647M997D8iVyyNf6pFH2BwQYJvnxE8ZxCb69WMDIABYtAj4/nuz8fgwbfgTv5W4hG/OnHwUmC+f0ZB8js9v+OvXDxg6lOOHH+YbelCQx77cyZPc7Hf2LK//+guoXdtjX048Yc4coEkTjvPl427fHDnMxuSDNPMXvxQTA7z+unU9apQSv+3s2uXasW/SJI8mfgC4804eCXV6800gLs6jX1Lc7ckn+Qvgs5v+/c3G46OU/MUvjRtn7fd56CGgbVuz8UgKORzc5Jf4iEYKS/imVtu2QJUqHG/dCkyY4JUvK+70/vss4QmwpOf69Wbj8UFa9he/c+gQj/pevszSvevX84y//JfPLvv/8APwzDMcFy4MbNvG9otesnYtGwU6HEBoKFeOCxb02pcXdxg5ko08AL6YK1bwVIAA0Mxf/FC3bkz8AJv2KPHbzMWLQOfO1vWECV5N/ABn/s56QlFRVh0AsZGuXYEyZTj+5x/g00/NxuNjNPMXv7JokdWt7c47ufTvbPwl/+WTM/+33+ZzGwB44glg7lyPP+tPypkz3Px36hSvFy4E6tf3ehiSFkuWAHXqcJwzJ7B7N5A7t8mIfIZm/uI3YmNdT4WNGqXEbztbtvB5LQBkysRZv4HED/BEYeJa/2++yY2kYiO1awMvvsjxuXOq8JWIkr/4jQkT+GwWAB54AGjVymw8kkIOB9CxI4vsA+zQ5iy7Z0irVtwwCnAVybkgITYyahQ3bgDs4xwRYTYeH6Flf/ELR49yiTYqihPFNWusbm1ycz617P/TT0CLFhwXK8at9pkymY0JwMaNbB6YkMCtB7t2AQUKmI5KUmT0aKBHD45r1GANZ0MrSr5CM3/xC926MfED3KilxG8zV65YpVkBYOxYn0j8ADeMvvYax5cuAe+8YzYeSYVOnYCSJTlevhz47juz8fgAzfzF9pYtA2rV4jhXLs7M7rjDbEx24TMz/yFDrGIs9esDv//uUzOz06eBu++2Kv+tXAlUq2Y2Jkmh+fOBhg05LliQzwidjwMCkGb+YmsJCa6nwoYPV+K3ncOHrbJ6ISHc8OdDiR/g99TgwdZ1x45q+2s7DRoAjRpxfORIwLf9VfIXW/v6a6t41733qpKfLfXsyWV/gFvqnWezfcxrrwFly3K8Zg0wdarZeCQV3nsPyJCB47FjgT17zMZjkJK/2FZUlFXACwDGj1cBL9tZvhz49luO77gDGDjQaDi3ki6ddQoR4LP/ixfNxSOpUKKEVbEpNjagqzcp+YttjRxp9Vxv2hSoW9doOJJS8fFcP3caNgwICzMXTzLUqwc89RTHx44xZLGZPn2s4xpz53J/SQDShj+xpYMH2eclOpoN37Zt4029pIzRDX+ffgq0a8dxxYosqG+DpZt9+/hkIiaGK8hbt+p7z3amTbOK/5QrB2zYYIvvPXfSzF9s6Z13mPgBTh715mszFy8Cffta1xMm2ObNt1gx61RibKzrCUWxiZYtgapVOd6yBfjiC7PxGKCZv9jOihVA9eoc587Nct0q45s6xmb+fftaa+YtWrCLn41ERbGo1NGjvF682CohLzaxfDlQsybHefJw81+2bGZj8iLN/MVWbjzaN2SIEr/tHD7MndYAn9mMHGk2nlQIDXV93v/22zr6Zzs1agDNm3N84gTLAAcQJX+xlW++4TErgI/qdLTPhvr0sZ7ZvPUWULy42XhS6cUXrXbR69fze1NsZtQo3oACvCE9dMhsPF6k5C+2cWNp1XHjePxKbGTdOuuAfK5crs/9bSYkxFrAANiHyFmuQGyieHHrxEl0NF/EAKHkL7YxejQLcwFA48bAI4+YjUdSyOFw3R3Xv7/PH+27nXr1rIqxhw+z1oTYTJ8+vBEFgOnTraVFP6cNf2ILkZHsy3HlCmf7W7dafTok9by64W/2bBZkAHg8Y+tWq9qajW3bBpQvz2f+2bJx31iePKajkhT54ANrBSBAuv5p5i+20K+ftaTaoYMSv+3ExVktVQE+a/WDxA/wzP+rr3J88aJPFymUm3ntNdeufzNnmo3HCzTzF5+3aRNrwDgcXCXes8dapZO08drMP/HMqmZNYMkSv5pZHT/OxYyoKO4F2LwZKF3adFSSInPmAE2acFy8OFemMmY0G5MHaeYvPq9nTyZ+gPtxlPht5tw5YNAg63rsWL9K/ACQN6+1GTU+Huje3Ww8kgqNG1s1wvfuBSZNMhuPh2nmLz7tjz/Y3h0AChcGdu4EMmUyG5M/8crMv3t3YMwYjlu25KYqP3T5Mgv/OP93LlrEDYFiIxERwH33cbaRIwdvAvy0R7hm/uKzEhJcHxMPG6bEbzv797N0L8AlVD/uoZ4li2vhn27duAogNlKpEtC6Ncfnz/v196uSv/is775j8RSAz/xbtjQajqRG794sgA8AXboAd91lNh4Pe+EFoHJljjdsYP8YsZkhQ6xZxsSJwIEDRsPxFCV/8UkxMa71Nt59FwjWd6u9rFvHOziATRh69TIbjxcEB1tPOAAeIVfhH5spWNCqIR4by3oUfkhvp+KTJk1i214AePRRFfSxpcTJvl8/IHt2c7F4Ud26QKNGHB85wsmj2EzPntbO4mnTgI0bzcbjAdrwJz7n7FmetDl7lpvC16/nsr+4n8c2/C1aZN2xFSkC7Njh18embrRlC+v+JySw8dS+fbYvZhh4xo2zKlI+/jgwf77ZeNxMM3/xOSNHMvEDbJ6ixG8zCQmuTRiGDg2oxA+w6dRLL3F87lzANYzzD2+8wSNGALBgAfDnn2bjcTPN/MWnHDrEQlsxMcwXu3ZZP3/ifh6Z+c+YATz7LMcVKnDpJgA3bCT+Xs6UCdi9GwgPNx2VpMjUqdZdXJUqwD//+E2NisD7iRSf1q8f3ywBFoRT4reZuDjucnMaMSIgEz/A790OHTiOjnatcyQ20bIlcO+9HK9dC/z4o9l43Egzf/EZGzfymK2zjO/evXpO6mlun/l//DHw+usc16nDpVI/mSmlxunTQLFiwIULvAfaskVlf21n/nyrdWOJEuzklD692ZjcIDBvycUn9e1rlfHt21eJ33YuXXKd3o4cGdCJH2BxOOf2h4QE10URsYnHH+eNLMDGIp9+ajQcd9HMX3zCqlXAgw9yHB7O56Oq5ud5bp35DxvGuzYAaNYM+Okn93xem7t8mRPGf//l9YoV1ve62MSaNcD993OcJw+XJUNDzcaURpr5i09w5gyANTWU+G3m9GlWYgK4vp24zm2Ay5LFtc1v4kZVYhNVqwJPP83xiRNsTmVzSv5i3OLFbOAD8Hy/s7S22Mjw4XywDQCvvAKUKmU2Hh/z8stWu/hly4B588zGI6kwbBiQLh3Ho0ezj7ONKfmLUQ6H63PQgQP9Yi9NYDl40CpjlykTMGCA2Xh8ULp0rj1ievVS0x/buftuoF07ji9dsn3THyV/MWrePGDlSo7LlAGef95sPJIKAwZYzXs6dWJtdPmPZs2sx8abN/ttZ2P/1q8fn+MAPNnirEFuQ0r+YkxCAn+WnIYMAUJCzMUjqbBlC/D11xyHhfGBtiQpKMi10l///lZNC7GJfPl4gwvwhnfwYLPxpIGSvxgzcyYQEcFx5crAU0+ZjUdSoXdva/dar146n3kbderw5BjASaOfnBoLLN27AzlycDxlCrBzp9FwUkvJX4yIj3ftlDl0aMAfCbef5cuBuXM5Dg+3ytnJLSU+CDF0KB8fi42EhQE9enB84/KljSj5ixHTpwPbt3Ncvbo1GxKbcDg463caOBDInNlYOHZSuTLQogXHx48DH3xgNh5JhU6deN4fAH74gf0rbEZFfsTr4uKAe+4B9u/n9eLFVgEt8a5UF/lZuBB49FGO77mHz/6dx6DktrZvZ+e/hAROJPftY+tfsZEPPmADEgBo0MB25zc18xev++ILK/HXr6/EbzsOh2tVpkGDlPhTqHRpq1nc2bN+UTMm8LRrZ3Uemz+fBRxsRDN/8aroaJY6PXKE16tXW8efxPtSNfOfMwdo0oTje+/lrs0A7dyXFgcOsPBPXByQNStn/86VZLGJL79kBScAqFEDWLrUNpuX9BMrXvXxx1bif/JJJX7bSep8phJ/qhQp4lozZsQIo+FIarz4olXNcvlyYMECs/GkgGb+4jVRUWxvevIkrzdsACpUMBpSwEvxzH/GDODZZzmuWpVLNzaZ6fiif/9lSesrV4CMGdnQqlAh01FJivz4o1X3v1IlYO1aW9wQ+36E4jcmTLAS/7PPKvHbztWrOp/pZvnzW3vGYmK4kCI206wZj3AAfARmk26WmvmLV5w7BxQtyv8GBwPbtnGTuJiVopn/118DrVpxXLMmsGSJkr8bnDnDn40LF1jhcvt2lpEXG1mwgDv+AducftHMX7xi7FgmfoD5Q4nfZuLiXPvSatbvNrlyAd26cRwfr75ItvTYY0CtWhzv3GmVvPZhmvmLx508yWf9UVHs2LdrFzc7iXnJnvlPngy89hrHjz4K/PabZwMLMBcv8mfk1Cleb9zIgxRiI8uXc0UM4MaN3bu5kcNHaeYvHjdyJBM/ALz6qhK/7URHuz6M1oNpt8uWzbVgok0rxga2GjWAhg05PnyYN8w+TDN/8agjR3iuPzqard737gUKFDAdlTgla+b//vtA584cP/kkMHu2x+MKRNHRfNbvfDlWrgSqVTMbk6RQRIS1+e/OO1m8ITTUbEw3oZm/eNSwYXxTA9j3RYnfZi5dAoYPt65t3MLU12XK5Drj79PHXCySSpUqWUdhT5706cYNmvmLx+zfzwpmV6/y5nf/fiB3btNRSWK3nfmPGgW88w7HzzwDfP+9dwILUHFxLP27dy+vFy0C6tUzG5Ok0M6dQJkyVuOG/futFsA+RDN/8ZhBg5j4AaBLFyV+2zl/nskf4PnMxLv9xSPSp3ddXOnTh60UxEbuuYeV/wA2bnjvPbPx3ISSv3jEjh3A1Kkch4UBXbuajUdSYfx4vnkBwAsvcEoqHvfcc+z4B7CA4i+/mI1HUqF/f+uc/7hxwOnTZuNJgpK/eMSAAVz1AoDu3dWu1HZOn7ZazaVLp8PnXhQc7Hqgol8/62dJbKJYMeCVVzi+eBEYPdpsPElQ8he327CBJeABdilzli8VGxk9mm9aAN/EihUzG0+AadIEqFKF440bWT5ebKZPHyBDBo4/+AA4ftxsPDdQ8he3S7xjuXdvtisVGzl2jI0YABYp6dvXbDwBKCiIRRSd+ve39s+ITRQqZBXGunyZBU98iJK/uNWqVdYzyvBwoH17s/FIKowcyTZzAN+8wsPNxhOgHn3UKhi3cycwfbrZeCQVevUCMmfm+KOPrCIOPkDJX9wq8SSxXz+eXRYbOXyYb1IAkCWLdcxPvO7G2f/AgUBsrLFwJDXy5QPeeovjmBjXmhmGKfmL2yxeDPzxB8fFiwNt2piNR1Jh2DArw7z1Ft+8xJhatbgCAAAHDgCff240HEmN7t2tKn+ffcZz/z5AyV/cwuFwnfUPHMgzy2Ij+/ZZ2SV7dqBHD7PxCADX2f/QodYTGbGJ3LlZ6ARgFScf6Y2h5C9uMX8+sGIFx2XKAM8/bzYeSYXEVZm6dmWvWTGualXu/geAo0etpzJiI127Wuedv/6arU0NU/KXNEtIcJ31Dx4MhISYi0dSYft2YNo0jnPlshr5iE8YMoR7AABgxAirS6bYRM6cQLduHMfH80bbMCV/SbOZM9nMCmBDq2bNzMYjqTBwoFVJpkcPn6xFHsjKl7f6xZw6xUaLYjMdO1o1zr/9FtiyxWg4auwjaRIfzzem7dt5PW8e0KCB2Zgk+cLDwxH5669AxYr8QJ48fPav4gw+Z9cuPlKLj+e92f79LJ0tNjJ2rLUC0KwZ8NNPxkLRzF/S5JtvrMRfvTrw+ONm45FU6N/fGqsqk88qWRJo1Yrj8+et6stiI6+/DuTPz/HMmcD69cZC0cxfUi0uDihVihNFgEf96tQxGpKkUHiePIg8efLaRTiwe7eKM/iwAwd4ExAXx3u0ffu4WCM2MnGidfb/iSeMdW7SzF9S7YsvrMRfv74Svy1duGCNVZXJ5xUpArRrx/GlS1bHZbGRV19l6V8A+PVXYOVKI2Eo+UuqREe7HldNfBZZvG/37t146KGHULJkSdx///3Ytm3b7f/SkiWsOgawcY+qMtlC797WPdqkScCRI2bjkRTKmNH1UVvisReZSf4nT3LTw8yZRr68pN3HH1tvOo0bAw88YDaeQNe+fXu0a9cOu3btQo8ePfCKs53ozTgcrh2YBgxQVSabKFAA6NCB45gY3XjbUqtWVqfMRYuAv/7yegjef+a/bx9QoQIPqt5zD487pEvn1RAkbaKi+H3rfFS8YQNfUjHjxIkTKFmyJE6dOoV06dLB4XAgf/78WLVqFYoUKZL0X/r9d+CxxxAOILJUKf4cqjiDbZw6BRQtyp/FdOl4EqBoUdNRSYpMnQq89BLHNWoAS5daxRy84LbJv1SpUohyd0WJkyet+uFhYWwgIrZx8aL1qDhzZhWCMy0uLg5nzpxB3rx5r3/sxIkTyJkzJzI4+4lfExUVhYsXLyJ3QgLSA/gXQP5cuazOY2IbFy7wZxHgW6iO/dnQ8eOsqhkUBOTN6/Yb8NDQUOzYsSPJ3zOz23/pUqB2bY6LFmW/Si052sK5c3zJzp0DgHjs2BGCe+4xG1OgW7duHV566SVs3br1+seqVq2KsWPHolatWv/9C3PmXK8Xmw/Asfh4IFjbf+zm/Hn+LJ49y5dv61aevhEbmTULk158EW8eOADccYdXv7SZn/hatYBHHuF4/37gyy+NhCEpN3asM/EDWbL8qMTvAwoVKoTIyEhcvVaX3+Fw4PDhwyhcuPB//3BCgsuz/otBQUr8NpUjh9V7KSGB2zbEZpo2xYgcObye+AGTu/0TbxUfMoTbx8WnnTwJjB/Pcfr0QLZs7xmNRyhPnjyoVKkSpl2rzf/TTz+hSJEiST/v/+EHYNMmju+/H9FefMYo7vfWW0BwMDffzJjB/TciyWEu+T/wAPaWKcNxZCTwySfGQpHkGTXKaijy6qtAjx7PmA1Irps8eTImT56MkiVLYuTIkfg8qcbvV6+6Tg+HDkW2bNm8F6S4XdasQOPGVo14Q6fGJA26du1q5OuarfC3YQNQqRLHqinu044eBYoX5wJNpkzA3r08ciQ28tVXQOvWHNeqBfz1F8KvPTIQ+4qOBu6+m3MogDVjqlUzG5P4PrMP+ypWBJ5+muMTJ1j2UHzS0KHWk5k331Tit53YWNc2ool7xIqtZcrkWrIhcXttkZsxX9t/+3agXDnuWAkL4wZAtRP1Kfv3syRDXBwQGsprZ2dKsYnJk4HXXuP40UeB334DcK2rn2b+tndjn40//wTq1jUbk/g289t8S5cG/vc/js+etXaUic8YPJhvLgDQpYsSv+2oFrPfS58eGDjQuu7bl0UcRW7G/Mwf4APkUqW4ISl7dt6+Gjj6IP+1YwdQtqy1MLNvH5Azp+moJEXGj+ddG8Dz/bNmXf8tzfz9R3w8UL681WJ73jygQQOzMYnvMjrzP3v2LMLDw5H7gQfwY/bs/OCFC5hfv77JsCSRAQOY+AGge/fbJ/4ffvgBr7/+OqKjo9G0aVOULFkSFStWxOOPP44DBw54Oly5UVQUMGKEdT14MACrEdDx48eT3whIfFpIyPWXFwDQp08CmjTRz6CvqVOnjk+8DkaTf1hYGFq2bImuXbuixYYNSLhW5a/Brl0seyhGbdzIs8MAD2N07Hj7vzNr1iw0bdoUANCuXTvs3LkTGzZsQKNGjdDO2YtUvGfiRG6mBYBnnwXuvReA1Qgob968yWsEJEakNFE0awaEhe0HAEREBKNcuf76GbSB6xPh3LlRsWJFlC5dGhkzZkT79u099jU9mvxr1qyJ3LlzJ/nr8OHDAIANGzagUqVKQKFCWFelCv/i5cvAyJGeDE2SIfEO4t69eQrzVt+kcXFx+Pvvv1G3bl1kypQJDRs2RNC1HeXVqlXDPuduJPGOc+eAd9/lODj4+kPhEydOYP369XjhhRcAAM2bN8f+/ft9YjYit3ern8H4+DikT2+d6pg1qzISEvQz6OsST4Q3bNiA8ePHo3r16pg8ebLHvqZHk/+yZctw6tSpJH8VKlQIAJN/xYoVAQAfh4XhqrMRyUcfWQdXxetWrQLmzuU4PBxw3oDe6pt08eLFeOihh/7TTAYAJkyYgMaNG3vxXyAYO5abaAF2D7tW+P3w4cMoUKAA0l3rphkUFITChQvj0KFDpiKVFLjdz+DDD8fiwQf5Z7dtA779lmP9DJrTpk0bVKxYERUrVsTatWvRsGHD69f/mQiD/TqcedFTjC77HzlyBMHBwcifPz8AYOmuXTj9/PP8zZgYYNgwg9EFJudqTa1aS65/7OzZrggPT2K1Bq7fpLNmzcJTTz31n885fPhw7N69G8P0enrPjbWYbyj8HnTDGX9f2PcrlJZEMWvWLDRr9pTLW+fAgcCQISP1M2jQl19+iQ0bNmDDhg2oUqUK5s2bd/06qYmwN5I/HAbNnTvX8dhjj12/rly5sqPTCy84HNmyORyAw5EuncOxb5/BCAPTn3/yfz/gcBQv7nDExrr+/p133uk4evSow+FwOJo1a+b46quvHAkJCY5ixYo5Ll686PJnR48e7bjvvvscZ8+e9VL04nA4HI6uXa0X8Y03XH7r+PHjjuzZszvi4uIcBQsWdCQkJDjy5s3r2L9/v5lY5aZq166d5OuSnJ/Bhx+2vgUKFx6in0EfkdRrGhkZ6cibN+/16xIlSjjWr1/v0TiMzvwbNWqEBQsWXL9et24dxk+dah1LunrVdfuqeJzD4VohbOBA127LN67WbNq0CeXLl8c///yD0qVLIzQ09PqfHTduHL799lssXLgQOXU+0HuOHAEmTeI4UyagTx+X305RIyDxOcn9GUw8yb96tTcyZcppIFpJjoiICJeZfvbs2fHhhx969Gv6xjn/G507BxQrZjWq3rYN6h3rHfPmAU88wXGZMmwAFxJi/f4vv/yCiRMnXr9pu++++1C5cmXccccdKFGiBNq2bQsAiIyMRKFChVCsWLHrzWMyZsyI1atXe/XfE5Befx34+GOOu3UDRo/+zx/ZuXMnWrdujbVr16JChQr46quvULZsWS8HKrdTp04dTJkyxeXGLGU/gxEA+Jy/QIFRCA+fqZ9BAeCryR/g2eTevTl+7jlr14p4jMMB3HcfEBHB6x9/BJo3T97fLVu2LBYvXow8efJ4LkC5vX37eKN89SqQLRuvb1GSUUV+/EdSP4PqnSY3Y76878289RZw550cf/ed1YNcPGbmTCvxV67MM8PJtXXrViV+XzBoEBM/oFrMASapn0H1TpOb8d2ZPwC89x7g7HV8Q1lSca/4ePZX2rGD17/+CjRsaDYmSaFUNMnSzN//qXeaJMV3Z/4Au5A5e8fOng2sWWM2Hj82bZqV+GvUUE1wW+rf36rF3LOn3uEFAHunXavnhLNngXHjzMYjvsG3Z/4Ai/288QbHjz0GJDodIO4RE8PHxAcP8nrpUqBmTbMxSQpFRPBZDQDkzctmWcl4uKuZf2BI4VYQCQC+PfMHgFdeAZw7XX/7DVi2zGg4/uizz6zE//jjSvy2lPh8Zp8+2tUlLooV41spAFy8aFV9lsDl+zN/AJgyBWjThuNatYC//gJuqFAmqXPpElC8uNVHae1a7vgXG1mxAqhenePChYFdu4CMGZP1VzXzDxyRkUCJElzpy5yZi0PXSgVIAPL9mT/AB1YlS3K8dCnwxx9m4/EjH3xgJf4WLZT4bcfhcC3i079/shO/BJbwcOsJ6pUrwPDhZuMRs+wx8wd43M9Z9/+BB4CVKzX7T6Nz54CiRfnf4GBgyxZuDhIbWbQIeOQRju++mwWxrjXsSQ7N/APLiRN8BHDpEit37t4N3HWX6ajEBHvM/AHgmWd4XgUAVq8G5swxG48fGDOGiR9g0zclfpu5cdY/aFCKEr8Enjx5gE6dOI6LA4YMMRuPmGOfmT/A435Nm3KcVO1ZSbbjx/ms3zkD2LXL2lcpNjFnDutfAED58iznFpyy+3nN/APP2bNc8Tt/nm+f27dz0UgCi31m/gDw5JNAtWocb9sGTJ9uNh4bGzGCiR8A2rdX4redhASgXz/resiQFCd+CUxhYWz5ALC41w3dniVA2GvmDwBLlgB16nB8113Azp3a4JRChw7xTj82lrt+9+0D8uUzHZWkSOI9MPffD6xalao9MJr5B6aLF/ns/9Qpftts3MjFIwkc9psq1K7Nw+gAD6dPnmw2HhsaPJiJH+DzPyV+m7l61XW6NnSoNr9KimTLBrzzDscOBw+JSGCx38wfcK1mduedPLB6rW2s3NrOnUDZslzuy5GDdb7DwkxHJSny6adAu3Yc164NLF6c6uSvmX/gunKF+37+/ZfXa9YAVaqYjUm8x34zf4A9Kp97juOTJ9kASJJlwAAmfgDo0UOJ33YuXwYGDrSuhw/XrF9SJXNm18KQicfi/+w58weAPXt4Nk3FqpPtxt7ee/cCoaFGQ5KUevddNu0BuAF29uw0fTrN/ANbbCxr/h84wGv19Qgc9pz5A6xTmbhY9YgRZuOxgRvLvyvx28zZs9b3eXCwSrRJmmXI4Lp9pE8f7gEQ/2ff5A9wl0qmTBxPmsRt7JKkZcuAX3/luFAhHu8Tmxk1yrUqU9myRsMR//DCC5z9A3yfWLjQbDziHfZO/gUKWOWqYmJY4Uz+w+GwVooBPjLW6UibOXIEeP99jjNkcH3uL5IG6dK5vnX27avZfyCwd/IHmNVy5uR4yhSWqxIXs2ezFQLAyWKrVmbjkVQYPBiIjub4zTdVkF3c6umngXvv5XjNGlVPDwT2T/5hYda0NiFBW1ZvcPUq0KuXdT1ihCoi287OncDnn3OcPTvQu7fZeMTvBAe71vnv29c6FST+yf7JHwA6drQaU8+cyVtXAcDFkB07OK5RA2jUyGg4khqJ34m7d9epFvGIxo3ZMBVgh8+pU83GI55l36N+N/roI6tZdb16bHUa4C5fZhnfo0d5/fffwEMPmY1JUmjNGpbvBYC8eXnE1Y3HNHTUTxJLXD09PJwNvzJnNhqSeIh/zPwBoG1blqsCgD/+UPIH94c5E3/Tpkr8tuNwWDVYATby0flM8aDatYEnnuA4MhKYMMFsPOI5/jPzB4BvvwVatuT4vvuAf/4J2E5np0+zcceFC/xfsGULayKJjSxcCDz6KMfFinEza4YMbv0SmvnLjbZsASpU4BaqHDlYDOyOO0xHJe7mX5nx2WeBihU5XrcO+P57o+GYNHw4Ez8AvPyyEr/tJCS4zvqHDnV74hdJSrlyQOvWHJ8/r1pS/sq/Zv4A8PvvwGOPcVykCHe7Bdih9oMHgZIlWbozUyY+Ji5Y0HRUkiKJV7EqVuTNrAdWsTTzl6RERnK/UHQ07zl37uTbqfgP/5r5A1wmdS6VHjgATJxoNBwT+ve3WvZ27qzEbzvR0a7nM0eODNjHV2JGeDjfOwC+l/TrZzQc8QD/m/kDwKZNnC05HCwAtHcvkCuX6ai8IvE/PSyM/Y6cNZDEJsaM4ZE+AHjkEa5meYhm/nIz585xD/WZM7xev95qDCb255/TiXvvtcrYnTsXUA+tevWySnP26aPEbzunTwPDhnEcFASMHm02HglYOXO61kxLXCJc7M8/Z/7Afx9a7dgBFC1qOiqP+vNPljgAgMKF+ZzO2fdIbKJLF2D8eI5btwa+/NKjX04zf7mVmBigVCmr5e/vv3MxSuzPP2f+AB9adenCcWwsp8F+LD4eePtt63rIECV+29m7l90pAVZWSVxvVcSAjBmthSiAs/+EBHPxiPv4b/IH+J3qLIX67bfA2rVm4/GgqVOBDRs4rlyZbTrFZnr1AuLiOO7alTewIoY99xzfUwAgIoJvpWJ//rvs7zRxIvDWWxzXrg0sXsxnqX7k0iU+4fj3X14vXmyV6BSbWLnSKsGYJw/PZ2bL5vEvq2V/SY5Fi6zl/sKF+RRVZX/tzb9n/gDQvj0zI8DC1b/+ajYeDxgzxkr8Tz6pxG87DgfQrZt1PXCgVxK/SHLVr2+VTzl0yNqWIvbl/zN/APjpJ6BFC45Ll+Z5uHTpzMbkJkeP8t7m8mX+k7ZsAe65x3RUkiIzZwLNm3NcqhS/P9On98qX1sxfkitx2d/QUGD3biBfPtNRSWr5/8wfAJo1s5ZUt28HvvjCbDxu1LcvEz8AvP66Er/txMa6nqEaNcpriV8kJcqVA159leOoKBYTE/sKjJk/AKxYAVSvznHevLxttfnS6oYN3IjjcLABx549avVuOx98AHTsyLGBPSma+UtKnDjBlUZnw7CICJZVEfsJjJk/wJm/c2n1+HFgxAiz8aSRw8Gjfc5bt759lfht5/x5YNAg63rMGL/bjCr+JU8e69R0QgIPpQTI9NHvBE7yB4B337U6o40bB+zfbzaeNPj1Vxb1AVi7yHmgQWxkyBBW9AOA558HqlQxG49IMnTqZNVL++MP4JdfzMYjqRNYyb9YMavwT0yMbetVxsVZpd8BPiYOsMaF9rd7NzBhAscZMwZUCWqxt4wZOY9y6tbNaiQm9hFYyR8Aevfm2hUA/PADsGyZ2XhS4dNPec4W4NMM50EGsZG337YK+nTrpn6pYivNmwM1a3K8axfw0Udm45GUC5wNf4l99pm1bbVyZWDNGtu0TD1/HihRAjh1itcrVwLVqpmNSVJo4UKr7XSBAmzCEBpqJBRt+JPUWrsWqFqV47AwbjgOkOapfsEeGc/d2rThgVWAfSq//tpsPCkwaJCV+J97Tonfdq5etR49AcDIkcYSv0haVKkCvPQSx2fPuu5dFd8XmDN/gEeqHn6Y43z5uHbl40f/tm/nsZqrV9m0Z8cO4K67TEclKTJpEtChA8f338+lG4OrTpr5S1ocOQKULKkiY3YUmDN/AKhbF3jqKY6PHeMMzIc5HEDnzkz8APcqKvHbzJkzrpVR3n/fNo+bRJJSsCDQowfHV6+6VqkW3xa4M3+ALVTLlOFW1YwZObV2nmHxMXPmAE2acFy4MEPNksVsTJJCnTpZO/z/9z9g2jSz8UAzf0m7S5c42z9yhNfz5wOPP242Jrm9wJ52FC/O6TTAo39duxoN52aio10fE48Zo8RvO9u3c8kf4Ivn4ytNIsmVNSuPGzt17Mi3U/FtgZ38AZarcnanmDULWLDAaDhJee89YN8+juvU0dE+23E4OOuPj+d1z55AeLjZmETcqGVLoEYNjnfvVtc/OwjsZX+nadOAF1/k+O67gc2bfaZqzpEjXFK7dImPhzdsAMqXNx2VpEjirpI+9sxGy/7iLhs38uR0QgJXA3bu5J4A8U2a+QN8/uqjt609ezLxA+zap8RvM5cuuT6zGT/eZxK/iDtVqMD3KIDf9omrkIrv0czf6cbb1h07jC/NJm5EmCsX70tURMNm+vSxSvc+9hh3Q/lQ8x7N/MWdzpzh0T9ny4q//mKzSvE9mvk7VagAvPEGx5cuGT+zcvWqFQ4ADB2qxG87u3YBo0dznD49d/r7UOIXcbdcuVwbpr71lnU8WXyLkn9igwdbfXG//56FgAyZNImLEQBQqZJVjVhswuHgtmdn/f7u3TklEvFzL78M3Hcfx5s3q+6/r9Ky/40+/xxo25bjsmWBiAjO2rzo6FGgVCng4kVOFFeuBB54wKshSFr9/DPQrBnHhQpxk1/WrGZjSoKW/cUTVq0CHnyQ4xw5uAjm7KcmvkEz/xu1aWN1q9i6FfjgA6+H0LUrEz/AGb8Sv81cvmzVjwB4VtMHE7+Ip1SrBrRuzfH588afokoSNPNPypo1zLgOB9+0t2/n7M0LEjd8y52bx2X0rN9m+vXjJg0AeOQR4LfffPZZv2b+4iknTvCY8rlzvP7jD6udipinmX9SqlYF2rfn+NIl7lrxgpgY4M03revRo5X4bWfHDuDddzlOn54rRz6a+EU8KU8e18p/r7+uyn++RMn/ZkaMAPLm5Xj2bFb/87DRo3mcD2DZAWe7TLGJhATeNMbG8rpbN7U4k4DWtq317H/XLtebATFLy/638t13wPPPcxweDmzb5rG2v/v2cX9hdDQQEsJ9hiroYzOJN4sWL86tzpkzm43pNrTsL562aRNLqMTHs3Dq5s0spCpmaeZ/K88+y8IsABAZCQwY4JEv43CwxXt0NK87d1bit50TJ1xLmn30kc8nfhFvuPdeq2daTAzrl2jKaZ5m/reTeEoeHMzNgJUru/VLfPMNKwwDrIW9fbvHFhjEU/73P76QzrEPtOtNDs38xRsuXeLb6MGDvJ4+nc2AxBzN/G+nWDGgf3+Onc90nd3Z3ODUKTZ8c5o0SYnfdn7/3Ur8uXIB48aZjUfEx2TNCkycaF136QKcPWsuHlHyT5633wbKlOF47Vrgww/d9qm7duUNAAA8/TTQpInbPrV4w+XLVjcTgLs2Vc1E5D8aNbLqXp04waZlYo6W/ZNr+XKgZk2OQ0OBLVuAu+5K06dcsABo0IDjsDDuJ8yXL41xinf16gWMHMlxrVrsZGKjo31a9hdviowESpcGoqJ4vWgRUK+e2ZgClWb+yVWjBtCuHcdRUSy9l4b7pqgo4LXXrOuxY5X4bWfjRmDMGI4zZAAmT7ZV4hfxtvBwqwwGwLdR542AeJeSf0q8+67V5nfhQuDLL1P9qfr2tTa/1KtnlcIUm4iL44vmbFnWqxcbMojILbVvb7X53b+fXa/F+7Tsn1Lz5gFPPMFxjhys/1+wYIo+xerVLHzhcPA02ObNPBYuNjJ4sHX0s1w57gXJmNFsTKmgZX8xYc8eHgG8coWLZcuWAdWrm44qsGjmn1ING1ql986f59p9Cu6fYmJYB8b5VwYPVuK3nY0bgSFDOA4JAaZMsWXiFzGlRAmr/YXDwTbAV66YjSnQKPmnxnvvWQ/of/nFOuaVDIMGca8gwJ7XiZu/iQ3ExbHzo3O5/513rOblIpJsnTpZHUt37eJ7o3iPlv1Ta9Ys4KmnOM6Vi1v1nb0AbmLVKi5tJSSw58uaNUCFCp4PVdxo6FB27QNYtWTdOlvP+rXsLyZt2wZUqsR2GMHBfCRapYrpqAKDZv6p1bQpy/8CwJkzru34knD5MtCqFRM/wLtcJX6b2byZz2kALfeLuEGZMq411Fq3tsqci2cp+afFBx8AuXNz/NNPt1z+f+cdLm0BQLVqrmXgxQacu/vj4njdo4emKCJu0KMHULEix1u38iSUeJ6W/dNqxgxrBSBHDm4Gu6H4z59/WoUsMmcGNmwASpb0bpiSRol395cpA6xf7xezfi37iy/YvJn30rGx3P3/xx9A3bqmo/Jvmvmn1TPPAC+8wPH581zbT1T7//x57g9zGjVKid92Vq2ylvuDg7XcL+Jm5csDI0Zw7HDwbfTcOaMh+T0lf3eYOBEoXJjjJUtcGrt06QIcOsRx3bq33RogvubiRXbpc97Q9e8PVK1qNiYRP9S5szXbP3yYbc7Fc7Ts7y5LlvA71+HgVv5//sHsgxXRtCl/O1s2Lm2lsR2AeFubNpzpA6zMtHQpkC6d0ZDcScv+4ksOH+YqwPnzvP7uO+upqriXZv7uUrs2d64AQFwc4p75H95oY1WteP99JX7bmTHDSvyhocC0aX6V+EV8TaFCrk1TX3uNzYDE/ZT83Wnw4OvbVtPv3obuZ3sBAJo3V+1+2zl8mEXInSZNAooVMxePSIB4/nlrtn/uHN87nUekxX2U/N0pQwZg+nTEpcsEAOiM9/HinQvw6adq9mYr8fEs4ezccfTss8CLLxoNSSRQBAVx9u9smfLHH8Do0WZj8kdK/m625GQZvB1v9az8PO5FhF3SupWtjBkD/PUXx4UKAR99pLs3ES/KlQv46ivrx65PH2D5crMx+Rslfzc6dYobwz9wdMBcNAIApD93CnjuOas4jPi2v/+2eowGBQFffw2EhZmNSSQA1atnFfyJj+fb6MmTZmPyJ0r+buLsTHXkCAAE4bMaX8HhPP73998qW2UHp05xid95rK9XL6BOHaMhiQSyAQOsH8EjR/g0Ts//3UPJ300mTADmzuU4d27go+9zIWjGDB77A4B332UHQPFNCQl8rs+7N57eUJsxEaNCQlg1PU8eXi9YwLdSSTslfzdYsQLo1s26/uoroEABsF9l4u/Ul14CDh70enySDCNH8p0F4DvNN9/oWJ+ID8ifH5g+3Xr+37cvsGyZ2Zj8gZJ/Gh07Bjz9tNXevVs3oGHDRH+gUyer9e/ZsywHHBvr9TjlFhYvttr0BgUx8RcoYDYmEbmufn3rRzQ+nscB9fw/bZT80yAujo+Ijx7ldZ06Vn3q64KCgC++AIoW5fU//7guE4hZBw/yhsz5IHHAAKsLk4j4jP79XZ//P/ecNemSlFPyT4N33mG1V4BnUr/77iYrxTlzAj/8wDoAAFsBOyvHiTmXL3NV5tQpXjdooI2ZIj7K+fw/b15e//mnWqOnhZJ/Kk2fbvXvSZ8e+PFH65sySffdxwZATu3bA6tXezRGuQWHA2jXDoiI4HXx4nxRQ0LMxiUiN5U/P/DTT9Y+6vHjeRpXUk7JPxVWrwZeecW6Hj8eqFYtGX/x1VeB11/nODaWs07nMwPxrvHjmewBIGtWYNYsnecXsYHq1V3nUe3aAWvWmIvHrpT8U+jwYaBJEyAmhtft2ln5PFnGjwdq1eL433+BZs2A6Gh3hym38uuvrvsupkwBypUzFo6IpEy7dlbrjZgYzqOcp3QleZT8U+DSJeDJJ4Hjx3lduzYf36eo8muGDHz+7ywAtHo128aqcoV3bNrEnULO/9+9ewMtWpiNSURSbMIErgIATPyNGwNRUWZjshMl/2SKj2cNmA0beF2sGJ89OffwpUiePFxmzpKF1999Z51jEc/591+gUSPrHaJFC2DIELMxiUiqZMgAzJwJFCnC64gIoGVLq0Cn3JqSfzI4HEDnzsDPP/M6WzZgzhzgjjvS8EkrVWLSD772EgwfDnz2WVpDlZu5fJnLNocP8/r++7lTKFg/AiJ2lScPn+LlyMHruXOBt982G5Nd6J0vGUaPtjaYpEvHVfuyZd3wiRs3Bt5/37p+7TXg99/d8InFRVwcz/KvXcvrwoWB2bOBzJnNxiUiaVamDFdhnces33/f9W1VkqbkfxvffAP07Gldf/op8NhjbvwCHTpwWQHgelWzZiwEJO6RkAC0bcvpAcBlm19+AfLlMxuXiLhNvXrA5MnWdefO1mEeSZqS/y38/jvQurV1PWSI67XbjBljlQC+dInFZrZt88AXCkA9e1oHgTNk4POa8uXNxiQibvfyy6wC6NS6NTBvnrFwfJ6S/00sXQo0bcoVY4BHS5xt3t3OWbrKWbvyzBng0UeBAwc89AUDxOjRvLEC+Gz/22/VolfEjw0cCLzxBsdXr3JP799/Gw3JZyn5J+Gff4AnngCuXOF18+bApEkpPNKXUpky8Tn0fffx+sgR4JFHuENdUu6DD4AePazrjz7iIxUR8VtBQTwC+OyzvL5yhe/lzu0+YlHyv8HGjXym7zwN1qCBF7u7Zs8OzJ8P3HMPr/fsAerW1Q1ASn34IdCxo3U9dCiXbkTE74WE8Enfo4/y+vx5zqPWrzcbl69R8k9k/XpuHDl3jtd166bhLH9q3XknsHChdXh1507dAKTEJ58Ab75pXffr58HnNSLii5w1AJzFVM+dY1tg3QBYlPyvWb0aePhh4PRpXj/4IPeGGTkNVqgQ8NdfrjcAdeqoD8DtfPyxVfMTAHr1AgYNMhePiBiTNSsP+dSsyeuzZ3UDkJiSP7i5r359Lg8BQI0awIIFQGiowaDuuos3AEWL8nrXLt7G7ttnMCgf5XAAI0a4Nlno1g0YNszDGzVExJeFhnLHf40avD57lgupzlbsgSzgk//8+cDjj1vP+B9+mIk/e3azcQHgDcDixdYNwN69LGa9caPZuHyJw8HjfL17Wx/r0QN4910lfhH5zw3AhQvc1zV3rtm4TAvo5P/ppyyy59zV36AB679kzWo2Lhd33cXb1NKleX3sGFcAdOvKc5ivvsojfU4jRwKjRinxi8h12bIBv/3G93iAjVSfegr46iuzcZkUkMnf4eA+sHbtrCYQTz/N2v0+WfE1PBxYtgyoVo3XFy5wK+v335uNy6Rz54CGDYHPP+d1UBCf+Scuxygick2WLDxN3bIlr+PjWQhowIDAbKoacMn/yhXgpZd4+supa1f22MmY0Vxct3XHHcCiRdata0wMW9P26xd437l793JH5qJFvM6QgecxE2/2ExG5Qfr0wNSpwFtvWR8bPBh4/nn2/gokAZX8Dx7kc59p03gdFASMHw+MHWuT5m5Zs/LW9eWXrY8NHcoyVoHSyPqvv7gCsmMHr3PnBv74gzdCIiK3ERzMxj9jx1pPB2fMAGrXZm21QGGHlOcWixaxeJ7zmEfWrMCPPwKdOpmNK8XSp2fr33HjrDuWn3/mTNif+wEkJLDtcb16wKlT/FipUjyj6dzJIyKSDEFBXPGdM8c61bV2LTutB0pjVb9P/levst7zY49ZZ/iLFwdWrbJxtdegIKBLFx5idR5L2LIFqFIF+OILbmrwJ6dPA40asViP8xHHo48CK1cCxYqZjU1EbKtRI2DFCu6rBoCTJ3n6q29f5g5/5tfJf88eTgoHDbJyRsOGvMMrV85sbG7x+OOc+Tr/MVeuAK+8ArzwglWm0O4WLAAqVOCZTIA3PoMG8exOzpxGQxMR+ytfnjmhYUNeOxwsEVKvHrB/v9nYPMkvk39CAns7V6zI3Aiw3vPgwTzb6Vc5o1QpdiJKXLv+m2+AsmW5pmVX588Dbdtyg6PzQdydd/K8Tv/+fEFFRNwgd27mhlGjrLeWpUs5r/rgA//cUx3kcPjXGvGmTcBrr3FF2KlECW7ye+ABc3F5xYwZPPd+4YL1sWefZZurPHnMxZUSDgdvWt56Czh82Pr4I48AX34JFCxoLjY/FB4ejsjISNNhiPiMv//mccBDh6yP1azJtiGlSpmLy938ZuZ//jwrulau7Jr4X3kFiIgIgMQPAM88A2zebB0HBFgLoGRJFsKJjjYXW3Js28bNGU2bWok/NJTLOL/9psQvIh5XvTq3UCWuFr5sGR8PdOoEnDljLjZ3sv3M//JlLsuMGsW6zU4lSwKTJrFmf8BxOIDp04HOna1djgAbBY0YwZsEXzrbGBnJynwff2xVXQL44n32mbUbR9xOM3+Rm1u8mE8fE7dUCQtjYaB27Xy0KFwy+VAGSJkLF3hGv3hx4J13rMSfMSOf7W/aFKCJH+CmuBde4Ez6lVesw6wHDrCaRblyXEKPjTUaJvbv5zOa4sV5p+ZM/HfdxXOYv/+uxC8ixtSty8XUQYNYIRBgruncmS1XRo1yfcpqJ7ab+e/cCUycCEyZ4lrXJjiY+W7gQKsPjlyzaROfiSxc6PrxggWBDh2AF1/03pJ6fDzj+OwzFixKfJ4mSxbeyXXrZu9bahvRzF8keSIj2T9s6lTXj+fMybprL7/MfdZ2YYvkf+gQJ4IzZli79xNr3pyz/TJlvB+bbTgcnEkPG8YHWIkFB3OZ5KWXeN4lLMy9XzshAVi3jhv5vv7adScNwK4bHTqwdsGdd7r3a8stKfmLpExEBJ+e/vjjf0uq3H8/0KoV6wcULmwmvuTyyeR//DiwfDlz1NKl/J99o8yZmas6dPCTM/vetHIl16tmz/7v7wUH8zv40UdZ7/Lee3kOJiWuXmX53bVr+UL++iu7Ed4ob14u+3fsCOTKlbp/iwAAOnbsiDlz5uDgwYPYvHkzyiXzh0LJXyR1du5k5/Bp05J+glq2LPde16jByoGFCvlWs1EjyX/WLFZojYoCLl7kf48eBXbv5q9b7aa8914m/Zdfdv8ENeDs28eZ+Ndf37qaRf78vMMqUIAz8zx5ePcVH89fMTF8ASMjuUt/+/abd8kICuJPRNu2vD1On94z/7YAs3TpUhQrVgw1atTAL7/8ouQv4iWnT7O0yhdfABs23PzP3XGH9TaaLx9/hYayL1muXN6vOGsk+Rctyr1nyREUxAJvzZuz7e4993g0tMCUkMAZ+uzZPFK3dat7P3/mzHys0KgRfxUo4N7PL9cVKVJEyV/EkI0b+XRz3jw+ok5udr37bmDXLs/GdiMjyb98eZ6jTEqhQizKU7UqCytUr64ZvtcdOcJOSOvXc7Pgxo2u5yhvJSiIRwqrVLF+VatmbZUVj7pd8h83bhzGjRt3/ToqKgrn/KUUtIgPOXWKTUgjIvhWGhHBR9pJKVv25jnRU4wk/+++41J/aCj3eoWGckmkeHFt8vZJDgfXtk6cYOeLEyf4kCskhL/Sp+caVsGC/K+W8t2qZs2a2L59e5K/FxERgUKFCl2/1sxfxHdFRXH707//8kbgyhW+lWbLxvIr3pTOu1+O1HrdZoKCuOkvpRv/xC2W3Xg6Q0RsKTSUK9slSpiOxMZFfkRERCR1lPxF/MCbb755fQm/fv36KOELUwsR8Vk+ec5fRLxDz/xFApNm/iIiIgFGyV9ERCTAKPmLiIgEGCV/ERGRAKPkLyIiEmCU/EVERAKMkr+IiEiAUfIXEREJMEr+IgEsNDTUdAgiYoAq/ImIiAQYzfxFREQCjJK/iIhIgFHyFxERCTBK/iIiIgFGyV9ERCTAKPmLiIgEmP8DpfS1SJv0T2AAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "ax = plt.subplot(111)\n",
    "\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\")\n",
    "\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "       [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "plt.yticks([-1, 0, +1],\n",
    "       [r'$-1$', r'$0$', r'$+1$'])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b3a4184b-b6fa-4039-9598-9da3d5f3824c",
   "metadata": {},
   "source": [
    "### 添加图例\n",
    "\n",
    "我们在图的左上角添加一个图例。为此，我们只需要在 plot 函数里以「键 - 值」的形式增加一个参数。\n",
    "\n",
    "```python\n",
    "...\n",
    "plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plot(X, S, color=\"red\",  linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
    "\n",
    "legend(loc='upper left')\n",
    "...\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "bc3350ab-ef1e-4abf-a9e2-e8ba5cf4a1df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "ax = plt.subplot(111)\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\", label=\"sine\")\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "plt.yticks([-1, +1],\n",
    "           [r'$-1$', r'$+1$'])\n",
    "\n",
    "plt.legend(loc='upper left', frameon=False)\n",
    "# plt.savefig(\"../figures/exercice_8.png\",dpi=72)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "40df53f9-313c-4e82-ae9d-a0c4421a871d",
   "metadata": {},
   "source": [
    "### 给一些特殊点做注释\n",
    "\n",
    "我们希望在 2π/3 的位置给两条函数曲线加上一个注释。首先，我们在对应的函数图像位置上画一个点；然后，向横轴引一条垂线，以虚线标记；最后，写上标签。\n",
    "\n",
    "```python\n",
    "...\n",
    "\n",
    "t = 2*np.pi/3\n",
    "plot([t,t],[0,np.cos(t)], color ='blue', linewidth=2.5, linestyle=\"--\")\n",
    "scatter([t,],[np.cos(t),], 50, color ='blue')\n",
    "\n",
    "annotate(r'$\\sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "         xy=(t, np.sin(t)), xycoords='data',\n",
    "         xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "         arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plot([t,t],[0,np.sin(t)], color ='red', linewidth=2.5, linestyle=\"--\")\n",
    "scatter([t,],[np.sin(t),], 50, color ='red')\n",
    "\n",
    "annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
    "         xy=(t, np.cos(t)), xycoords='data',\n",
    "         xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
    "         arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "...\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a07ebde9-0d8b-436c-9b6d-78bd91ebd600",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "ax = plt.subplot(111)\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\")\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\",  label=\"sine\")\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "plt.yticks([-1, +1],\n",
    "           [r'$-1$', r'$+1$'])\n",
    "\n",
    "t = 2*np.pi/3\n",
    "plt.plot([t,t],[0,np.cos(t)],\n",
    "         color ='blue',  linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t,],[np.cos(t),], 50, color ='blue')\n",
    "plt.annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
    "             xy=(t, np.cos(t)),  xycoords='data',\n",
    "             xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.plot([t,t],[0,np.sin(t)],\n",
    "         color ='red',  linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t,],[np.sin(t),], 50, color ='red')\n",
    "plt.annotate(r'$\\sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "             xy=(t, np.sin(t)),  xycoords='data',\n",
    "             xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.legend(loc='upper left', frameon=False)\n",
    "#plt.savefig(\"../figures/exercice_9.png\",dpi=72)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9fcd8270-02a5-4a51-af07-195b90be1c89",
   "metadata": {},
   "source": [
    "### 精益求精\n",
    "\n",
    "坐标轴上的记号标签被曲线挡住了，作为强迫症患者（雾）这是不能忍的。我们可以把它们放大，然后添加一个白色的半透明底色。这样可以保证标签和曲线同时可见。\n",
    "\n",
    "```python\n",
    "...\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65 ))\n",
    "...\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e13b1ab0-f118-41d9-86f2-7a8b6a8cfb67",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(8,5), dpi=80)\n",
    "ax = plt.subplot(111)\n",
    "ax.spines['right'].set_color('none')\n",
    "ax.spines['top'].set_color('none')\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "ax.spines['bottom'].set_position(('data',0))\n",
    "ax.yaxis.set_ticks_position('left')\n",
    "ax.spines['left'].set_position(('data',0))\n",
    "\n",
    "X = np.linspace(-np.pi, np.pi, 256,endpoint=True)\n",
    "C,S = np.cos(X), np.sin(X)\n",
    "\n",
    "plt.plot(X, C, color=\"blue\", linewidth=2.5, linestyle=\"-\", label=\"cosine\",\n",
    "         zorder=-1)\n",
    "plt.plot(X, S, color=\"red\", linewidth=2.5, linestyle=\"-\",  label=\"sine\",\n",
    "         zorder=-2)\n",
    "\n",
    "\n",
    "plt.xlim(X.min()*1.1, X.max()*1.1)\n",
    "plt.xticks([-np.pi, -np.pi/2, 0, np.pi/2, np.pi],\n",
    "           [r'$-\\pi$', r'$-\\pi/2$', r'$0$', r'$+\\pi/2$', r'$+\\pi$'])\n",
    "\n",
    "plt.ylim(C.min()*1.1,C.max()*1.1)\n",
    "plt.yticks([-1, +1],\n",
    "           [r'$-1$', r'$+1$'])\n",
    "\n",
    "plt.legend(loc='upper left', frameon=False)\n",
    "\n",
    "t = 2*np.pi/3\n",
    "plt.plot([t,t],[0,np.cos(t)],\n",
    "         color ='blue',  linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t,],[np.cos(t),], 50, color ='blue')\n",
    "plt.annotate(r'$\\sin(\\frac{2\\pi}{3})=\\frac{\\sqrt{3}}{2}$',\n",
    "             xy=(t, np.sin(t)),  xycoords='data',\n",
    "             xytext=(+10, +30), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "plt.plot([t,t],[0,np.sin(t)],\n",
    "         color ='red',  linewidth=1.5, linestyle=\"--\")\n",
    "plt.scatter([t,],[np.sin(t),], 50, color ='red')\n",
    "plt.annotate(r'$\\cos(\\frac{2\\pi}{3})=-\\frac{1}{2}$',\n",
    "             xy=(t, np.cos(t)),  xycoords='data',\n",
    "             xytext=(-90, -50), textcoords='offset points', fontsize=16,\n",
    "             arrowprops=dict(arrowstyle=\"->\", connectionstyle=\"arc3,rad=.2\"))\n",
    "\n",
    "for label in ax.get_xticklabels() + ax.get_yticklabels():\n",
    "    label.set_fontsize(16)\n",
    "    label.set_bbox(dict(facecolor='white', edgecolor='None', alpha=0.65 ))\n",
    "\n",
    "#plt.savefig(\"../figures/exercice_10.png\",dpi=72)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "27343088-8127-4e58-9c15-5466a52b3342",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
